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Finding the Fourth Proportional to 179.57, 269.27 and 76.80

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Solution

The fourth proportional to 179.57, 269.27 and 76.80 is: 115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.57 : 269.27 = 76.80 : x
  2. Step 2: Convert to fraction form
    179.57/269.27 = 76.80/x
  3. Step 3: Cross multiply
    179.57x = 269.27 × 76.80
  4. Step 4: Simplify right side
    179.57x = 20,679.94
  5. Step 5: Solve for x
    x = 20,679.94/179.57
  6. Step 6: Final answer
    x = 115.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.