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Finding the Fourth Proportional to 410.68, 616.03 and 136.79

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Solution

The fourth proportional to 410.68, 616.03 and 136.79 is: 205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.68 : 616.03 = 136.79 : x
  2. Step 2: Convert to fraction form
    410.68/616.03 = 136.79/x
  3. Step 3: Cross multiply
    410.68x = 616.03 × 136.79
  4. Step 4: Simplify right side
    410.68x = 84,266.74
  5. Step 5: Solve for x
    x = 84,266.74/410.68
  6. Step 6: Final answer
    x = 205.19

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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.