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Finding the Fourth Proportional to 166.92, 230.04 and 123.24

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Solution

The fourth proportional to 166.92, 230.04 and 123.24 is: 169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.92 : 230.04 = 123.24 : x
  2. Step 2: Convert to fraction form
    166.92/230.04 = 123.24/x
  3. Step 3: Cross multiply
    166.92x = 230.04 × 123.24
  4. Step 4: Simplify right side
    166.92x = 28,350.13
  5. Step 5: Solve for x
    x = 28,350.13/166.92
  6. Step 6: Final answer
    x = 169.84

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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.