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Finding the Fourth Proportional to 411.66, 617.42 and 133.97

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Solution

The fourth proportional to 411.66, 617.42 and 133.97 is: 200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.66 : 617.42 = 133.97 : x
  2. Step 2: Convert to fraction form
    411.66/617.42 = 133.97/x
  3. Step 3: Cross multiply
    411.66x = 617.42 × 133.97
  4. Step 4: Simplify right side
    411.66x = 82,715.76
  5. Step 5: Solve for x
    x = 82,715.76/411.66
  6. Step 6: Final answer
    x = 200.93

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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.