Finding the Fourth Proportional to 296.70, 444.99 and 114.06
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Solution
The fourth proportional to 296.70, 444.99 and 114.06 is: 171.07
Step by Step Solution
- Step 1: Write the proportion equation
296.70 : 444.99 = 114.06 : x - Step 2: Convert to fraction form
296.70/444.99 = 114.06/x - Step 3: Cross multiply
296.70x = 444.99 × 114.06 - Step 4: Simplify right side
296.70x = 50,755.56 - Step 5: Solve for x
x = 50,755.56/296.70 - Step 6: Final answer
x = 171.07
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.