If "preceding" refers to time or order:
* Following
* Succeeding
* Subsequent
If "preceding" refers to a cause-and-effect relationship:
* Resulting
* Following from
* Caused by
If "preceding" refers to a physical location:
* Following
* After
* Behind
Example:
* Preceding: The chapter *preceding* this one discussed the history of the company.
* Opposite: The chapter *following* this one discusses the future of the company.
It's important to consider the context of the sentence to choose the most appropriate opposite.