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Finding the Fourth Proportional to 353.61, 487.85 and 204.21

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Solution

The fourth proportional to 353.61, 487.85 and 204.21 is: 281.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.61 : 487.85 = 204.21 : x
  2. Step 2: Convert to fraction form
    353.61/487.85 = 204.21/x
  3. Step 3: Cross multiply
    353.61x = 487.85 × 204.21
  4. Step 4: Simplify right side
    353.61x = 99,622.38
  5. Step 5: Solve for x
    x = 99,622.38/353.61
  6. Step 6: Final answer
    x = 281.73

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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.