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Finding the Fourth Proportional to 167.56, 252.28 and 149.92

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Solution

The fourth proportional to 167.56, 252.28 and 149.92 is: 225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.56 : 252.28 = 149.92 : x
  2. Step 2: Convert to fraction form
    167.56/252.28 = 149.92/x
  3. Step 3: Cross multiply
    167.56x = 252.28 × 149.92
  4. Step 4: Simplify right side
    167.56x = 37,821.82
  5. Step 5: Solve for x
    x = 37,821.82/167.56
  6. Step 6: Final answer
    x = 225.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.