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Finding the Fourth Proportional to 353.26, 487.50 and 205.90

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Solution

The fourth proportional to 353.26, 487.50 and 205.90 is: 284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.26 : 487.50 = 205.90 : x
  2. Step 2: Convert to fraction form
    353.26/487.50 = 205.90/x
  3. Step 3: Cross multiply
    353.26x = 487.50 × 205.90
  4. Step 4: Simplify right side
    353.26x = 100,376.25
  5. Step 5: Solve for x
    x = 100,376.25/353.26
  6. Step 6: Final answer
    x = 284.14

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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.