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Finding the Fourth Proportional to 260.82, 391.22 and 68.44

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Solution

The fourth proportional to 260.82, 391.22 and 68.44 is: 102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.82 : 391.22 = 68.44 : x
  2. Step 2: Convert to fraction form
    260.82/391.22 = 68.44/x
  3. Step 3: Cross multiply
    260.82x = 391.22 × 68.44
  4. Step 4: Simplify right side
    260.82x = 26,775.10
  5. Step 5: Solve for x
    x = 26,775.10/260.82
  6. Step 6: Final answer
    x = 102.66

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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.