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Finding the Fourth Proportional to 179.66, 269.57 and 82.22

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Solution

The fourth proportional to 179.66, 269.57 and 82.22 is: 123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.66 : 269.57 = 82.22 : x
  2. Step 2: Convert to fraction form
    179.66/269.57 = 82.22/x
  3. Step 3: Cross multiply
    179.66x = 269.57 × 82.22
  4. Step 4: Simplify right side
    179.66x = 22,164.05
  5. Step 5: Solve for x
    x = 22,164.05/179.66
  6. Step 6: Final answer
    x = 123.37

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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.