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Finding the Fourth Proportional to 353.57, 487.91 and 204.15

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Solution

The fourth proportional to 353.57, 487.91 and 204.15 is: 281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.57 : 487.91 = 204.15 : x
  2. Step 2: Convert to fraction form
    353.57/487.91 = 204.15/x
  3. Step 3: Cross multiply
    353.57x = 487.91 × 204.15
  4. Step 4: Simplify right side
    353.57x = 99,605.81
  5. Step 5: Solve for x
    x = 99,605.81/353.57
  6. Step 6: Final answer
    x = 281.72

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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.