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Finding the Fourth Proportional to 263.80, 363.21 and 224.38

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Solution

The fourth proportional to 263.80, 363.21 and 224.38 is: 308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.80 : 363.21 = 224.38 : x
  2. Step 2: Convert to fraction form
    263.80/363.21 = 224.38/x
  3. Step 3: Cross multiply
    263.80x = 363.21 × 224.38
  4. Step 4: Simplify right side
    263.80x = 81,497.06
  5. Step 5: Solve for x
    x = 81,497.06/263.80
  6. Step 6: Final answer
    x = 308.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.