Finding the Fourth Proportional to 208, 312 and 56
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Solution
The fourth proportional to 208, 312 and 56 is: 84
Step by Step Solution
- Step 1: Write the proportion equation
208 : 312 = 56 : x - Step 2: Convert to fraction form
208/312 = 56/x - Step 3: Cross multiply
208x = 312 × 56 - Step 4: Simplify right side
208x = 17,472 - Step 5: Solve for x
x = 17,472/208 - Step 6: Final answer
x = 84
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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.