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Finding the Fourth Proportional to 502.60, 753.42 and 177.76

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Solution

The fourth proportional to 502.60, 753.42 and 177.76 is: 266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.60 : 753.42 = 177.76 : x
  2. Step 2: Convert to fraction form
    502.60/753.42 = 177.76/x
  3. Step 3: Cross multiply
    502.60x = 753.42 × 177.76
  4. Step 4: Simplify right side
    502.60x = 133,927.94
  5. Step 5: Solve for x
    x = 133,927.94/502.60
  6. Step 6: Final answer
    x = 266.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.