Answer: The required length of FG is 15 units.
Step-by-step explanation: Given that the length of the segment EG is 25 units and the point F is
of the way between E and G.
We are to find the length of FG.
The given information is shown in the attached figure below.
Since the point F is
of the way between E and G, so we must have

Therefore, the length of FG is given by

Thus, the required length of FG is 15 units.