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Finding the Fourth Proportional to 179.91, 269.89 and 77.22

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Solution

The fourth proportional to 179.91, 269.89 and 77.22 is: 115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.91 : 269.89 = 77.22 : x
  2. Step 2: Convert to fraction form
    179.91/269.89 = 77.22/x
  3. Step 3: Cross multiply
    179.91x = 269.89 × 77.22
  4. Step 4: Simplify right side
    179.91x = 20,840.71
  5. Step 5: Solve for x
    x = 20,840.71/179.91
  6. Step 6: Final answer
    x = 115.84

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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.