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Finding the Fourth Proportional to 179.60, 269.46 and 121.88

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Solution

The fourth proportional to 179.60, 269.46 and 121.88 is: 182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.60 : 269.46 = 121.88 : x
  2. Step 2: Convert to fraction form
    179.60/269.46 = 121.88/x
  3. Step 3: Cross multiply
    179.60x = 269.46 × 121.88
  4. Step 4: Simplify right side
    179.60x = 32,841.78
  5. Step 5: Solve for x
    x = 32,841.78/179.60
  6. Step 6: Final answer
    x = 182.86

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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.