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Finding the Fourth Proportional to 167.43, 232.17 and 161.66

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Solution

The fourth proportional to 167.43, 232.17 and 161.66 is: 224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.43 : 232.17 = 161.66 : x
  2. Step 2: Convert to fraction form
    167.43/232.17 = 161.66/x
  3. Step 3: Cross multiply
    167.43x = 232.17 × 161.66
  4. Step 4: Simplify right side
    167.43x = 37,532.58
  5. Step 5: Solve for x
    x = 37,532.58/167.43
  6. Step 6: Final answer
    x = 224.16

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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.