30% of a three-digit number is 190.8. What is 125% of that number?

Introduction / Context:
We are given a partial percentage of a number and asked to compute a larger percentage of the same number. This is a straightforward two-step percentage scaling task.

Given Data / Assumptions:

• 0.30 * N = 190.8.
• Need 1.25 * N.
• N is a three-digit positive number.

Concept / Approach:
First recover N by dividing the known part by its percentage. Then scale N by 125% (which equals 1.25 * N). Using proportionality avoids unnecessary rounding.

Step-by-Step Solution:
N = 190.8 / 0.30 = 636125% of N = 1.25 * 636 = 795

Verification / Alternative check:
Compute 30% of 636 to reconfirm: 0.30 * 636 = 190.8. The number is consistent; 1.25 * 636 = 795 as found.

Why Other Options Are Wrong:
Values like 759, 785, 779, 765 result from arithmetic slips (e.g., using 1.2 instead of 1.25 or miscomputing the base N).

Common Pitfalls:
Dividing by 30 instead of 0.30; remember percentages translate to decimals for multiplication and division.

Final Answer:
795