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Finding the Fourth Proportional to 410.67, 616.05 and 136.74

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Solution

The fourth proportional to 410.67, 616.05 and 136.74 is: 205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.67 : 616.05 = 136.74 : x
  2. Step 2: Convert to fraction form
    410.67/616.05 = 136.74/x
  3. Step 3: Cross multiply
    410.67x = 616.05 × 136.74
  4. Step 4: Simplify right side
    410.67x = 84,238.68
  5. Step 5: Solve for x
    x = 84,238.68/410.67
  6. Step 6: Final answer
    x = 205.12

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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.