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Finding the Fourth Proportional to 410.92, 616.35 and 137.02

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Solution

The fourth proportional to 410.92, 616.35 and 137.02 is: 205.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.92 : 616.35 = 137.02 : x
  2. Step 2: Convert to fraction form
    410.92/616.35 = 137.02/x
  3. Step 3: Cross multiply
    410.92x = 616.35 × 137.02
  4. Step 4: Simplify right side
    410.92x = 84,452.28
  5. Step 5: Solve for x
    x = 84,452.28/410.92
  6. Step 6: Final answer
    x = 205.52

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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.