Not all browsers fully, correctly, and consistently implement all CSS features, especially when it comes to CSS2 or upcoming CSS3. W3Schools.com can help you as it lists which features are compatible with which browsers, although I'm not sure how far this information is given.
In the end, a small replacement for testing in all popular browsers. I would recommend installing Wine , Parallels , or VMWare and testing IE and Chrome . It might be nice to test Konqueror if this works on OSX.
If you install one of them - this is too much PITA (or if IE and Chrome will not work on Wine or Parallels - I'm not sure, and you do not have a copy of XP to install on VMWare), you may have a Windows friend that you could use. In the worst case, most libraries have Windows machines with which you could test.
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