Final answer:
The potential at a point that is 25% of the way from one particle to the other is 135 V.
Step-by-step explanation:
To find the potential at a point that is 25% of the way from one particle to the other, we need to consider the relationship between distance and electric potential in the given scenario. The electric potential at a point is directly proportional to the distance from a charged particle. Since the potential at the halfway point is 270 V, we can assume that the potential at the point 25% of the way from one particle to the other is half of that, which is 135 V.