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Finding the Fourth Proportional to 168.72, 251.27 and 166.89

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Solution

The fourth proportional to 168.72, 251.27 and 166.89 is: 248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.72 : 251.27 = 166.89 : x
  2. Step 2: Convert to fraction form
    168.72/251.27 = 166.89/x
  3. Step 3: Cross multiply
    168.72x = 251.27 × 166.89
  4. Step 4: Simplify right side
    168.72x = 41,935.18
  5. Step 5: Solve for x
    x = 41,935.18/168.72
  6. Step 6: Final answer
    x = 248.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.