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Finding the Fourth Proportional to 353.10, 487.19 and 205.70

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Solution

The fourth proportional to 353.10, 487.19 and 205.70 is: 283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.10 : 487.19 = 205.70 : x
  2. Step 2: Convert to fraction form
    353.10/487.19 = 205.70/x
  3. Step 3: Cross multiply
    353.10x = 487.19 × 205.70
  4. Step 4: Simplify right side
    353.10x = 100,213.95
  5. Step 5: Solve for x
    x = 100,213.95/353.10
  6. Step 6: Final answer
    x = 283.81

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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.