Answer :
Final answer:
The number of measles cases prior to the 36.5% increase was approximately 141.352.
Explanation:
To find the number of measles cases prior to the increase, we need to calculate the original number of cases before the 36.5% increase.
Let's denote the original number of cases as x.
We can set up an equation to represent the given information:
x + 36.5% of x = 193
Converting 36.5% to decimal form, we get 0.365.
Simplifying the equation, we have:
1.365x = 193
Dividing both sides of the equation by 1.365, we find:
x = 193 / 1.365
Calculating the value of x, we get:
x ≈ 141.352
Hence, the number of cases prior to the increase was approximately 141.352.