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Finding the Fourth Proportional to 238.14, 329.22 and 227.94

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Solution

The fourth proportional to 238.14, 329.22 and 227.94 is: 315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.14 : 329.22 = 227.94 : x
  2. Step 2: Convert to fraction form
    238.14/329.22 = 227.94/x
  3. Step 3: Cross multiply
    238.14x = 329.22 × 227.94
  4. Step 4: Simplify right side
    238.14x = 75,042.41
  5. Step 5: Solve for x
    x = 75,042.41/238.14
  6. Step 6: Final answer
    x = 315.12

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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.