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Finding the Fourth Proportional to 263.62, 362.97 and 224.20

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Solution

The fourth proportional to 263.62, 362.97 and 224.20 is: 308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.62 : 362.97 = 224.20 : x
  2. Step 2: Convert to fraction form
    263.62/362.97 = 224.20/x
  3. Step 3: Cross multiply
    263.62x = 362.97 × 224.20
  4. Step 4: Simplify right side
    263.62x = 81,377.87
  5. Step 5: Solve for x
    x = 81,377.87/263.62
  6. Step 6: Final answer
    x = 308.69

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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.