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Finding the Fourth Proportional to 166.48, 229.58 and 113.43

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Solution

The fourth proportional to 166.48, 229.58 and 113.43 is: 156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.48 : 229.58 = 113.43 : x
  2. Step 2: Convert to fraction form
    166.48/229.58 = 113.43/x
  3. Step 3: Cross multiply
    166.48x = 229.58 × 113.43
  4. Step 4: Simplify right side
    166.48x = 26,040.68
  5. Step 5: Solve for x
    x = 26,040.68/166.48
  6. Step 6: Final answer
    x = 156.42

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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.