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Finding the Fourth Proportional to 169.29, 234.70 and 166.73

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Solution

The fourth proportional to 169.29, 234.70 and 166.73 is: 231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.29 : 234.70 = 166.73 : x
  2. Step 2: Convert to fraction form
    169.29/234.70 = 166.73/x
  3. Step 3: Cross multiply
    169.29x = 234.70 × 166.73
  4. Step 4: Simplify right side
    169.29x = 39,129.94
  5. Step 5: Solve for x
    x = 39,129.94/169.29
  6. Step 6: Final answer
    x = 231.14

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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.