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Finding the Fourth Proportional to 167.37, 252.51 and 166.92

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Solution

The fourth proportional to 167.37, 252.51 and 166.92 is: 251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.37 : 252.51 = 166.92 : x
  2. Step 2: Convert to fraction form
    167.37/252.51 = 166.92/x
  3. Step 3: Cross multiply
    167.37x = 252.51 × 166.92
  4. Step 4: Simplify right side
    167.37x = 42,148.97
  5. Step 5: Solve for x
    x = 42,148.97/167.37
  6. Step 6: Final answer
    x = 251.83

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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.