Thank you for getting back to me.
This is strange behavior. I have attached a couple of screenshots to demonstrate how the editor generates the HTML in edit mode, and then how HTML is rendered in live site. The screen shots are from Sitefinity 3.6 SP2, but the behavior is the same for Sitefinity 3.7.
Can you tell us which version of Sitefinity are you using, and in what browsers you are editing and viewing the content? This is also important browsers handle render the HTML from rich text editors (such as the RadEditor) differently.
the Telerik team