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Finding the Fourth Proportional to 410.69, 616.21 and 154.13

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Solution

The fourth proportional to 410.69, 616.21 and 154.13 is: 231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.69 : 616.21 = 154.13 : x
  2. Step 2: Convert to fraction form
    410.69/616.21 = 154.13/x
  3. Step 3: Cross multiply
    410.69x = 616.21 × 154.13
  4. Step 4: Simplify right side
    410.69x = 94,972.98
  5. Step 5: Solve for x
    x = 94,972.98/410.69
  6. Step 6: Final answer
    x = 231.26

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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.