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Finding the Fourth Proportional to 179.67, 269.27 and 130.92

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Solution

The fourth proportional to 179.67, 269.27 and 130.92 is: 196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.67 : 269.27 = 130.92 : x
  2. Step 2: Convert to fraction form
    179.67/269.27 = 130.92/x
  3. Step 3: Cross multiply
    179.67x = 269.27 × 130.92
  4. Step 4: Simplify right side
    179.67x = 35,252.39
  5. Step 5: Solve for x
    x = 35,252.39/179.67
  6. Step 6: Final answer
    x = 196.21

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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.