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Finding the Fourth Proportional to 166.53, 229.92 and 157.88

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Solution

The fourth proportional to 166.53, 229.92 and 157.88 is: 217.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.53 : 229.92 = 157.88 : x
  2. Step 2: Convert to fraction form
    166.53/229.92 = 157.88/x
  3. Step 3: Cross multiply
    166.53x = 229.92 × 157.88
  4. Step 4: Simplify right side
    166.53x = 36,298.62
  5. Step 5: Solve for x
    x = 36,298.62/166.53
  6. Step 6: Final answer
    x = 217.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.