Which is the best way to refer to a company that hosts your website:
My web host supports Ruby.
My web hoster supports Ruby.
My web hosting service supports Ruby.
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In casual speech and conversations on the internet, the usual terminology is "web host". If you need a more formal description then you might want to go with "web hosting service". "My web hoster supports Ruby" sounds distinctly odd to me. It might occur in a sentence like
"Well-known web hoster doteasy today announced record profits".
Incidentally one way to compare terms like this is to count the number of Google hits you get with the words in quotes. I get
Web host 2,800,000 hits Web hosting service 1,000,000 hits Web hoster 30,000 hits
I normally say Ruby is included in the (web) hosting service for my website; actually, I would say Ruby on Rails is included in the (web) hosting service for my website.
The difference for me is that saying the web server includes Ruby seems to mean it will never be removed; saying the hosting service includes Ruby means that it will be included until they don't change the service.
Of the choices provided, the best way to refer to a company that hosts your website is your third option web hosting service.
Based on a COCA query web hosting 6 times more common that web host, and web hoster yields no hits. BTW, web server is 11 times more common that web host. Personally, I find your third option the best: My web hosting service supports Ruby. I could just as well go with: My web server supports Ruby.
 Google is generally accepted to be worthless as a corpus search tool. This is why it is better to use a real corpus. COCA is good for american english and BNC is good for british english.
I don't agree that you could call the company the "Web host" and just randomly looking at some company web pages, none of them call themselves a "Web host" but a "XYZ Provider".
Just looking the google stats doesn't seem to be a good idea to me because...well, we would expect to find more references to the thing being provided than the providing company itself (you will find "car" more often than "car manufacturer").
"hosting provider" 2,030,000 results