To determine who solved the problem correctly, we need to establish what number 150 is 25% of. This can be done using the concept of equivalent ratios.
The equation we can formulate from the problem is:
\[ 150 = 0.25 \times x \]
To find \( x \), we can rewrite the equation as:
\[ x = \frac{150}{0.25} \]
Calculating this gives:
\[ x = 150 \div 0.25 = 150 \times 4 = 600 \]
So, 150 is 25% of 600.
Now we can compare this result to the work of the students. Since I do not have the specific work of Yasmin, Isabella, Liam, and Bill to analyze, I cannot directly identify who provided the correct calculations based on the equivalent ratios.
However, the correct answer to the original math problem is that 150 is 25% of 600. If any student arrives at this conclusion using equivalent ratios or any other method, that student is correct.