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Finding the Fourth Proportional to 260.83, 391.85 and 224.38

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Solution

The fourth proportional to 260.83, 391.85 and 224.38 is: 337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.83 : 391.85 = 224.38 : x
  2. Step 2: Convert to fraction form
    260.83/391.85 = 224.38/x
  3. Step 3: Cross multiply
    260.83x = 391.85 × 224.38
  4. Step 4: Simplify right side
    260.83x = 87,920.22
  5. Step 5: Solve for x
    x = 87,920.22/260.83
  6. Step 6: Final answer
    x = 337.09

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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.