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Finding the Fourth Proportional to 410.91, 616.31 and 137

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Solution

The fourth proportional to 410.91, 616.31 and 137 is: 205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.91 : 616.31 = 137 : x
  2. Step 2: Convert to fraction form
    410.91/616.31 = 137/x
  3. Step 3: Cross multiply
    410.91x = 616.31 × 137
  4. Step 4: Simplify right side
    410.91x = 84,433.79
  5. Step 5: Solve for x
    x = 84,433.79/410.91
  6. Step 6: Final answer
    x = 205.48

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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.