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Finding the Fourth Proportional to 227.31, 312.90 and 198.15

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Solution

The fourth proportional to 227.31, 312.90 and 198.15 is: 272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.31 : 312.90 = 198.15 : x
  2. Step 2: Convert to fraction form
    227.31/312.90 = 198.15/x
  3. Step 3: Cross multiply
    227.31x = 312.90 × 198.15
  4. Step 4: Simplify right side
    227.31x = 62,000.14
  5. Step 5: Solve for x
    x = 62,000.14/227.31
  6. Step 6: Final answer
    x = 272.76

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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.