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Finding the Fourth Proportional to 169.38, 234.68 and 167.04

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Solution

The fourth proportional to 169.38, 234.68 and 167.04 is: 231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.38 : 234.68 = 167.04 : x
  2. Step 2: Convert to fraction form
    169.38/234.68 = 167.04/x
  3. Step 3: Cross multiply
    169.38x = 234.68 × 167.04
  4. Step 4: Simplify right side
    169.38x = 39,200.11
  5. Step 5: Solve for x
    x = 39,200.11/169.38
  6. Step 6: Final answer
    x = 231.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.