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Finding the Fourth Proportional to 260.80, 391.26 and 132.52

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Solution

The fourth proportional to 260.80, 391.26 and 132.52 is: 198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.80 : 391.26 = 132.52 : x
  2. Step 2: Convert to fraction form
    260.80/391.26 = 132.52/x
  3. Step 3: Cross multiply
    260.80x = 391.26 × 132.52
  4. Step 4: Simplify right side
    260.80x = 51,849.78
  5. Step 5: Solve for x
    x = 51,849.78/260.80
  6. Step 6: Final answer
    x = 198.81

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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.