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Finding the Fourth Proportional to 391.66, 540.50 and 225.92

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Solution

The fourth proportional to 391.66, 540.50 and 225.92 is: 311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.66 : 540.50 = 225.92 : x
  2. Step 2: Convert to fraction form
    391.66/540.50 = 225.92/x
  3. Step 3: Cross multiply
    391.66x = 540.50 × 225.92
  4. Step 4: Simplify right side
    391.66x = 122,109.98
  5. Step 5: Solve for x
    x = 122,109.98/391.66
  6. Step 6: Final answer
    x = 311.78

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