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Finding the Fourth Proportional to 224.27, 336.58 and 108.78

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Solution

The fourth proportional to 224.27, 336.58 and 108.78 is: 163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.27 : 336.58 = 108.78 : x
  2. Step 2: Convert to fraction form
    224.27/336.58 = 108.78/x
  3. Step 3: Cross multiply
    224.27x = 336.58 × 108.78
  4. Step 4: Simplify right side
    224.27x = 36,614.16
  5. Step 5: Solve for x
    x = 36,614.16/224.27
  6. Step 6: Final answer
    x = 163.26

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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.