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Finding the Fourth Proportional to 462.92, 694.38 and 138.29

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Solution

The fourth proportional to 462.92, 694.38 and 138.29 is: 207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.92 : 694.38 = 138.29 : x
  2. Step 2: Convert to fraction form
    462.92/694.38 = 138.29/x
  3. Step 3: Cross multiply
    462.92x = 694.38 × 138.29
  4. Step 4: Simplify right side
    462.92x = 96,025.81
  5. Step 5: Solve for x
    x = 96,025.81/462.92
  6. Step 6: Final answer
    x = 207.44

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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.