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Finding the Fourth Proportional to 179.55, 269.48 and 82.20

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Solution

The fourth proportional to 179.55, 269.48 and 82.20 is: 123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.55 : 269.48 = 82.20 : x
  2. Step 2: Convert to fraction form
    179.55/269.48 = 82.20/x
  3. Step 3: Cross multiply
    179.55x = 269.48 × 82.20
  4. Step 4: Simplify right side
    179.55x = 22,150.85
  5. Step 5: Solve for x
    x = 22,150.85/179.55
  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.