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Finding the Fourth Proportional to 391.49, 540.22 and 225.69

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Solution

The fourth proportional to 391.49, 540.22 and 225.69 is: 311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.49 : 540.22 = 225.69 : x
  2. Step 2: Convert to fraction form
    391.49/540.22 = 225.69/x
  3. Step 3: Cross multiply
    391.49x = 540.22 × 225.69
  4. Step 4: Simplify right side
    391.49x = 121,922.25
  5. Step 5: Solve for x
    x = 121,922.25/391.49
  6. Step 6: Final answer
    x = 311.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.