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Finding the Fourth Proportional to 260.82, 391.17 and 78.25

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Solution

The fourth proportional to 260.82, 391.17 and 78.25 is: 117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.82 : 391.17 = 78.25 : x
  2. Step 2: Convert to fraction form
    260.82/391.17 = 78.25/x
  3. Step 3: Cross multiply
    260.82x = 391.17 × 78.25
  4. Step 4: Simplify right side
    260.82x = 30,609.05
  5. Step 5: Solve for x
    x = 30,609.05/260.82
  6. Step 6: Final answer
    x = 117.36

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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.