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Finding the Fourth Proportional to 411.13, 616.97 and 167.70

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Solution

The fourth proportional to 411.13, 616.97 and 167.70 is: 251.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.13 : 616.97 = 167.70 : x
  2. Step 2: Convert to fraction form
    411.13/616.97 = 167.70/x
  3. Step 3: Cross multiply
    411.13x = 616.97 × 167.70
  4. Step 4: Simplify right side
    411.13x = 103,461.95
  5. Step 5: Solve for x
    x = 103,461.95/411.13
  6. Step 6: Final answer
    x = 251.66

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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.