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Finding the Fourth Proportional to 179.71, 269.52 and 77.00

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Solution

The fourth proportional to 179.71, 269.52 and 77.00 is: 115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.71 : 269.52 = 77.00 : x
  2. Step 2: Convert to fraction form
    179.71/269.52 = 77.00/x
  3. Step 3: Cross multiply
    179.71x = 269.52 × 77.00
  4. Step 4: Simplify right side
    179.71x = 20,753.91
  5. Step 5: Solve for x
    x = 20,753.91/179.71
  6. Step 6: Final answer
    x = 115.49

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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.