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Finding the Fourth Proportional to 167.31, 229.57 and 160.83

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Solution

The fourth proportional to 167.31, 229.57 and 160.83 is: 220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.31 : 229.57 = 160.83 : x
  2. Step 2: Convert to fraction form
    167.31/229.57 = 160.83/x
  3. Step 3: Cross multiply
    167.31x = 229.57 × 160.83
  4. Step 4: Simplify right side
    167.31x = 36,921.34
  5. Step 5: Solve for x
    x = 36,921.34/167.31
  6. Step 6: Final answer
    x = 220.68

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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.