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Finding the Fourth Proportional to 224.27, 335.95 and 108.64

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Solution

The fourth proportional to 224.27, 335.95 and 108.64 is: 162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.27 : 335.95 = 108.64 : x
  2. Step 2: Convert to fraction form
    224.27/335.95 = 108.64/x
  3. Step 3: Cross multiply
    224.27x = 335.95 × 108.64
  4. Step 4: Simplify right side
    224.27x = 36,497.76
  5. Step 5: Solve for x
    x = 36,497.76/224.27
  6. Step 6: Final answer
    x = 162.74

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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.