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Finding the Fourth Proportional to 502.34, 753.53 and 177.70

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Solution

The fourth proportional to 502.34, 753.53 and 177.70 is: 266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.34 : 753.53 = 177.70 : x
  2. Step 2: Convert to fraction form
    502.34/753.53 = 177.70/x
  3. Step 3: Cross multiply
    502.34x = 753.53 × 177.70
  4. Step 4: Simplify right side
    502.34x = 133,902.28
  5. Step 5: Solve for x
    x = 133,902.28/502.34
  6. Step 6: Final answer
    x = 266.56

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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.