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Finding the Fourth Proportional to 179.87, 269.98 and 102.92

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Solution

The fourth proportional to 179.87, 269.98 and 102.92 is: 154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.87 : 269.98 = 102.92 : x
  2. Step 2: Convert to fraction form
    179.87/269.98 = 102.92/x
  3. Step 3: Cross multiply
    179.87x = 269.98 × 102.92
  4. Step 4: Simplify right side
    179.87x = 27,784.73
  5. Step 5: Solve for x
    x = 27,784.73/179.87
  6. Step 6: Final answer
    x = 154.48

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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.