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Finding the Fourth Proportional to 502.34, 753.48 and 137.14

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Solution

The fourth proportional to 502.34, 753.48 and 137.14 is: 205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.34 : 753.48 = 137.14 : x
  2. Step 2: Convert to fraction form
    502.34/753.48 = 137.14/x
  3. Step 3: Cross multiply
    502.34x = 753.48 × 137.14
  4. Step 4: Simplify right side
    502.34x = 103,332.25
  5. Step 5: Solve for x
    x = 103,332.25/502.34
  6. Step 6: Final answer
    x = 205.70

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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.