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Finding the Fourth Proportional to 179.40, 269.10 and 81.90

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Solution

The fourth proportional to 179.40, 269.10 and 81.90 is: 122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.40 : 269.10 = 81.90 : x
  2. Step 2: Convert to fraction form
    179.40/269.10 = 81.90/x
  3. Step 3: Cross multiply
    179.40x = 269.10 × 81.90
  4. Step 4: Simplify right side
    179.40x = 22,039.29
  5. Step 5: Solve for x
    x = 22,039.29/179.40
  6. Step 6: Final answer
    x = 122.85

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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.