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Finding the Fourth Proportional to 260.96, 391.08 and 132.80

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Solution

The fourth proportional to 260.96, 391.08 and 132.80 is: 199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.96 : 391.08 = 132.80 : x
  2. Step 2: Convert to fraction form
    260.96/391.08 = 132.80/x
  3. Step 3: Cross multiply
    260.96x = 391.08 × 132.80
  4. Step 4: Simplify right side
    260.96x = 51,935.42
  5. Step 5: Solve for x
    x = 51,935.42/260.96
  6. Step 6: Final answer
    x = 199.02

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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.