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Finding the Fourth Proportional to 410.67, 616.21 and 167.06

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Solution

The fourth proportional to 410.67, 616.21 and 167.06 is: 250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.67 : 616.21 = 167.06 : x
  2. Step 2: Convert to fraction form
    410.67/616.21 = 167.06/x
  3. Step 3: Cross multiply
    410.67x = 616.21 × 167.06
  4. Step 4: Simplify right side
    410.67x = 102,945.17
  5. Step 5: Solve for x
    x = 102,945.17/410.67
  6. Step 6: Final answer
    x = 250.68

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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.