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Finding the Fourth Proportional to 260.71, 391.05 and 87.48

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Solution

The fourth proportional to 260.71, 391.05 and 87.48 is: 131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.71 : 391.05 = 87.48 : x
  2. Step 2: Convert to fraction form
    260.71/391.05 = 87.48/x
  3. Step 3: Cross multiply
    260.71x = 391.05 × 87.48
  4. Step 4: Simplify right side
    260.71x = 34,209.05
  5. Step 5: Solve for x
    x = 34,209.05/260.71
  6. Step 6: Final answer
    x = 131.22

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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.