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Finding the Fourth Proportional to 224.12, 335.96 and 160.04

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Solution

The fourth proportional to 224.12, 335.96 and 160.04 is: 239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.12 : 335.96 = 160.04 : x
  2. Step 2: Convert to fraction form
    224.12/335.96 = 160.04/x
  3. Step 3: Cross multiply
    224.12x = 335.96 × 160.04
  4. Step 4: Simplify right side
    224.12x = 53,767.04
  5. Step 5: Solve for x
    x = 53,767.04/224.12
  6. Step 6: Final answer
    x = 239.90

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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.