* Six-cylinder: A 170 cubic inch slant-six was a common base engine.
* V8s: Several V8 options were available, ranging in size from a 273 cubic inch to a 440 cubic inch. The exact horsepower varied depending on the specific configuration (e.g., 2-barrel vs. 4-barrel carburetor). A 383 cubic inch V8 was also a possibility.
To know the *specific* engine in a particular 1968 Plymouth Fury III, you would need to check the vehicle's documentation (like the original build sheet or the vehicle identification number (VIN) and decode it).