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Finding the Fourth Proportional to 381.95, 527.21 and 224.61

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Solution

The fourth proportional to 381.95, 527.21 and 224.61 is: 310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.95 : 527.21 = 224.61 : x
  2. Step 2: Convert to fraction form
    381.95/527.21 = 224.61/x
  3. Step 3: Cross multiply
    381.95x = 527.21 × 224.61
  4. Step 4: Simplify right side
    381.95x = 118,414.38
  5. Step 5: Solve for x
    x = 118,414.38/381.95
  6. Step 6: Final answer
    x = 310.03

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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.