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Finding the Fourth Proportional to 410.66, 616.05 and 167.20

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Solution

The fourth proportional to 410.66, 616.05 and 167.20 is: 250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.66 : 616.05 = 167.20 : x
  2. Step 2: Convert to fraction form
    410.66/616.05 = 167.20/x
  3. Step 3: Cross multiply
    410.66x = 616.05 × 167.20
  4. Step 4: Simplify right side
    410.66x = 103,003.56
  5. Step 5: Solve for x
    x = 103,003.56/410.66
  6. Step 6: Final answer
    x = 250.82

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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.