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Finding the Fourth Proportional to 502.43, 753.14 and 177.59

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Solution

The fourth proportional to 502.43, 753.14 and 177.59 is: 266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.43 : 753.14 = 177.59 : x
  2. Step 2: Convert to fraction form
    502.43/753.14 = 177.59/x
  3. Step 3: Cross multiply
    502.43x = 753.14 × 177.59
  4. Step 4: Simplify right side
    502.43x = 133,746.37
  5. Step 5: Solve for x
    x = 133,746.37/502.43
  6. Step 6: Final answer
    x = 266.20

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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.