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Finding the Fourth Proportional to 166.15, 229.13 and 113.70

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Solution

The fourth proportional to 166.15, 229.13 and 113.70 is: 156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.15 : 229.13 = 113.70 : x
  2. Step 2: Convert to fraction form
    166.15/229.13 = 113.70/x
  3. Step 3: Cross multiply
    166.15x = 229.13 × 113.70
  4. Step 4: Simplify right side
    166.15x = 26,052.80
  5. Step 5: Solve for x
    x = 26,052.80/166.15
  6. Step 6: Final answer
    x = 156.80

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