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Finding the Fourth Proportional to 381.16, 572.14 and 227.24

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Solution

The fourth proportional to 381.16, 572.14 and 227.24 is: 341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.16 : 572.14 = 227.24 : x
  2. Step 2: Convert to fraction form
    381.16/572.14 = 227.24/x
  3. Step 3: Cross multiply
    381.16x = 572.14 × 227.24
  4. Step 4: Simplify right side
    381.16x = 130,013.09
  5. Step 5: Solve for x
    x = 130,013.09/381.16
  6. Step 6: Final answer
    x = 341.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.