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Finding the Fourth Proportional to 179.56, 269.14 and 82.11

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Solution

The fourth proportional to 179.56, 269.14 and 82.11 is: 123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.56 : 269.14 = 82.11 : x
  2. Step 2: Convert to fraction form
    179.56/269.14 = 82.11/x
  3. Step 3: Cross multiply
    179.56x = 269.14 × 82.11
  4. Step 4: Simplify right side
    179.56x = 22,099.09
  5. Step 5: Solve for x
    x = 22,099.09/179.56
  6. Step 6: Final answer
    x = 123.07

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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.