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Finding the Fourth Proportional to 227.20, 313.55 and 128.96

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Solution

The fourth proportional to 227.20, 313.55 and 128.96 is: 177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.20 : 313.55 = 128.96 : x
  2. Step 2: Convert to fraction form
    227.20/313.55 = 128.96/x
  3. Step 3: Cross multiply
    227.20x = 313.55 × 128.96
  4. Step 4: Simplify right side
    227.20x = 40,435.41
  5. Step 5: Solve for x
    x = 40,435.41/227.20
  6. Step 6: Final answer
    x = 177.97

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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.