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Finding the Fourth Proportional to 260.97, 391.19 and 217.37

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Solution

The fourth proportional to 260.97, 391.19 and 217.37 is: 325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.97 : 391.19 = 217.37 : x
  2. Step 2: Convert to fraction form
    260.97/391.19 = 217.37/x
  3. Step 3: Cross multiply
    260.97x = 391.19 × 217.37
  4. Step 4: Simplify right side
    260.97x = 85,029.93
  5. Step 5: Solve for x
    x = 85,029.93/260.97
  6. Step 6: Final answer
    x = 325.82

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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.