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Finding the Fourth Proportional to 167.47, 250.85 and 112.44

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Solution

The fourth proportional to 167.47, 250.85 and 112.44 is: 168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.47 : 250.85 = 112.44 : x
  2. Step 2: Convert to fraction form
    167.47/250.85 = 112.44/x
  3. Step 3: Cross multiply
    167.47x = 250.85 × 112.44
  4. Step 4: Simplify right side
    167.47x = 28,205.57
  5. Step 5: Solve for x
    x = 28,205.57/167.47
  6. Step 6: Final answer
    x = 168.42

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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.