Finding the Fourth Proportional to 178.96, 247.08 and 110
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Solution
The fourth proportional to 178.96, 247.08 and 110 is: 151.87
Step by Step Solution
- Step 1: Write the proportion equation
178.96 : 247.08 = 110 : x - Step 2: Convert to fraction form
178.96/247.08 = 110/x - Step 3: Cross multiply
178.96x = 247.08 × 110 - Step 4: Simplify right side
178.96x = 27,178.80 - Step 5: Solve for x
x = 27,178.80/178.96 - Step 6: Final answer
x = 151.87
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.