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Finding the Fourth Proportional to 167.74, 229.82 and 161.61

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Solution

The fourth proportional to 167.74, 229.82 and 161.61 is: 221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.74 : 229.82 = 161.61 : x
  2. Step 2: Convert to fraction form
    167.74/229.82 = 161.61/x
  3. Step 3: Cross multiply
    167.74x = 229.82 × 161.61
  4. Step 4: Simplify right side
    167.74x = 37,141.21
  5. Step 5: Solve for x
    x = 37,141.21/167.74
  6. Step 6: Final answer
    x = 221.42

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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.