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Finding the Fourth Proportional to 381.14, 572.78 and 227.10

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Solution

The fourth proportional to 381.14, 572.78 and 227.10 is: 341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.14 : 572.78 = 227.10 : x
  2. Step 2: Convert to fraction form
    381.14/572.78 = 227.10/x
  3. Step 3: Cross multiply
    381.14x = 572.78 × 227.10
  4. Step 4: Simplify right side
    381.14x = 130,078.91
  5. Step 5: Solve for x
    x = 130,078.91/381.14
  6. Step 6: Final answer
    x = 341.29

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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.