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Finding the Fourth Proportional to 179.20, 268.26 and 146.80

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Solution

The fourth proportional to 179.20, 268.26 and 146.80 is: 219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.20 : 268.26 = 146.80 : x
  2. Step 2: Convert to fraction form
    179.20/268.26 = 146.80/x
  3. Step 3: Cross multiply
    179.20x = 268.26 × 146.80
  4. Step 4: Simplify right side
    179.20x = 39,380.57
  5. Step 5: Solve for x
    x = 39,380.57/179.20
  6. Step 6: Final answer
    x = 219.76

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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.