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Finding the Fourth Proportional to 169.26, 232.08 and 167.10

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Solution

The fourth proportional to 169.26, 232.08 and 167.10 is: 229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.26 : 232.08 = 167.10 : x
  2. Step 2: Convert to fraction form
    169.26/232.08 = 167.10/x
  3. Step 3: Cross multiply
    169.26x = 232.08 × 167.10
  4. Step 4: Simplify right side
    169.26x = 38,780.57
  5. Step 5: Solve for x
    x = 38,780.57/169.26
  6. Step 6: Final answer
    x = 229.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.