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Finding the Fourth Proportional to 272.53, 408.73 and 227.17

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Solution

The fourth proportional to 272.53, 408.73 and 227.17 is: 340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.53 : 408.73 = 227.17 : x
  2. Step 2: Convert to fraction form
    272.53/408.73 = 227.17/x
  3. Step 3: Cross multiply
    272.53x = 408.73 × 227.17
  4. Step 4: Simplify right side
    272.53x = 92,851.19
  5. Step 5: Solve for x
    x = 92,851.19/272.53
  6. Step 6: Final answer
    x = 340.70

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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.