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Finding the Fourth Proportional to 169.38, 252.97 and 160.07

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Solution

The fourth proportional to 169.38, 252.97 and 160.07 is: 239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.38 : 252.97 = 160.07 : x
  2. Step 2: Convert to fraction form
    169.38/252.97 = 160.07/x
  3. Step 3: Cross multiply
    169.38x = 252.97 × 160.07
  4. Step 4: Simplify right side
    169.38x = 40,491.24
  5. Step 5: Solve for x
    x = 40,491.24/169.38
  6. Step 6: Final answer
    x = 239.06

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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.