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Finding the Fourth Proportional to 410.69, 616.12 and 136.81

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Solution

The fourth proportional to 410.69, 616.12 and 136.81 is: 205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.69 : 616.12 = 136.81 : x
  2. Step 2: Convert to fraction form
    410.69/616.12 = 136.81/x
  3. Step 3: Cross multiply
    410.69x = 616.12 × 136.81
  4. Step 4: Simplify right side
    410.69x = 84,288.30
  5. Step 5: Solve for x
    x = 84,288.30/410.69
  6. Step 6: Final answer
    x = 205.24

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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.