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Finding the Fourth Proportional to 353.14, 487.27 and 205.72

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Solution

The fourth proportional to 353.14, 487.27 and 205.72 is: 283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.14 : 487.27 = 205.72 : x
  2. Step 2: Convert to fraction form
    353.14/487.27 = 205.72/x
  3. Step 3: Cross multiply
    353.14x = 487.27 × 205.72
  4. Step 4: Simplify right side
    353.14x = 100,241.18
  5. Step 5: Solve for x
    x = 100,241.18/353.14
  6. Step 6: Final answer
    x = 283.86

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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.