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Finding the Fourth Proportional to 166.60, 250.38 and 111.94

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Solution

The fourth proportional to 166.60, 250.38 and 111.94 is: 168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.60 : 250.38 = 111.94 : x
  2. Step 2: Convert to fraction form
    166.60/250.38 = 111.94/x
  3. Step 3: Cross multiply
    166.60x = 250.38 × 111.94
  4. Step 4: Simplify right side
    166.60x = 28,026.29
  5. Step 5: Solve for x
    x = 28,026.29/166.60
  6. Step 6: Final answer
    x = 168.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.