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Finding the Fourth Proportional to 169.29, 251.75 and 167.49

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Solution

The fourth proportional to 169.29, 251.75 and 167.49 is: 249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.29 : 251.75 = 167.49 : x
  2. Step 2: Convert to fraction form
    169.29/251.75 = 167.49/x
  3. Step 3: Cross multiply
    169.29x = 251.75 × 167.49
  4. Step 4: Simplify right side
    169.29x = 42,166.03
  5. Step 5: Solve for x
    x = 42,166.03/169.29
  6. Step 6: Final answer
    x = 249.08

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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.