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Finding the Fourth Proportional to 227.28, 312.02 and 205.32

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Solution

The fourth proportional to 227.28, 312.02 and 205.32 is: 281.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.28 : 312.02 = 205.32 : x
  2. Step 2: Convert to fraction form
    227.28/312.02 = 205.32/x
  3. Step 3: Cross multiply
    227.28x = 312.02 × 205.32
  4. Step 4: Simplify right side
    227.28x = 64,063.95
  5. Step 5: Solve for x
    x = 64,063.95/227.28
  6. Step 6: Final answer
    x = 281.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.