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Finding the Fourth Proportional to 167.20, 250.92 and 106.24

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Solution

The fourth proportional to 167.20, 250.92 and 106.24 is: 159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.20 : 250.92 = 106.24 : x
  2. Step 2: Convert to fraction form
    167.20/250.92 = 106.24/x
  3. Step 3: Cross multiply
    167.20x = 250.92 × 106.24
  4. Step 4: Simplify right side
    167.20x = 26,657.74
  5. Step 5: Solve for x
    x = 26,657.74/167.20
  6. Step 6: Final answer
    x = 159.44

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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.