Explanation
Since 152 students correspond to one-third of the total number of students at the school, we can use a rule of three to solve the exercise.
[tex]\begin{gathered} 152\text{ students}\rightarrow\frac{1}{3} \\ x\rightarrow1 \\ \text{ Because }\frac{3}{3}=1 \end{gathered}[/tex][tex]\begin{gathered} x=\frac{1\cdot152\text{ students}}{\frac{1}{3}} \\ x=\frac{1\cdot152}{\frac{1}{3}}\text{ students} \\ x=\frac{152}{\frac{1}{3}}\text{ students} \\ x=\frac{\frac{152}{1}}{\frac{1}{3}}\text{ students} \\ x=\frac{152\cdot3}{1\cdot1}\text{ students} \\ x=\frac{456}{1}\text{ students} \\ x=456\text{ students} \end{gathered}[/tex]Answer
There are 456 students at the school.
