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Finding the Fourth Proportional to 227.31, 340.71 and 97.22

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Solution

The fourth proportional to 227.31, 340.71 and 97.22 is: 145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.31 : 340.71 = 97.22 : x
  2. Step 2: Convert to fraction form
    227.31/340.71 = 97.22/x
  3. Step 3: Cross multiply
    227.31x = 340.71 × 97.22
  4. Step 4: Simplify right side
    227.31x = 33,122.12
  5. Step 5: Solve for x
    x = 33,122.12/227.31
  6. Step 6: Final answer
    x = 145.71

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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.