a television station released 300 balloons. Of these, 3/4 were orange. How many were orange?

Again Im trying to divide it and the answer I get does not match the one in the book

3/4 = x/300

so its 300/3/4? where did x come from?

no, it's 300 * 3/4 = 225

Setting up the proportion is just a way of saying,

if 3 out of every 4 balloons are orange, how many out of 300 are orange?

Note that it boils down to recognizing that "of" usually means "times"

3/4 of 300 means 3/4 * 300 = 225

To find out how many balloons were orange, you need to calculate 3/4 of the total number of balloons.

Step 1: Find out how many balloons make up 3/4 of the total.
- Multiply the total number of balloons by the fraction 3/4.
- 3/4 x 300 balloons = 900/4 = 225 balloons

So, 225 balloons were orange out of the 300 balloons released by the television station.