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Finding the Fourth Proportional to 353.21, 487.41 and 195.83

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Solution

The fourth proportional to 353.21, 487.41 and 195.83 is: 270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.21 : 487.41 = 195.83 : x
  2. Step 2: Convert to fraction form
    353.21/487.41 = 195.83/x
  3. Step 3: Cross multiply
    353.21x = 487.41 × 195.83
  4. Step 4: Simplify right side
    353.21x = 95,450.90
  5. Step 5: Solve for x
    x = 95,450.90/353.21
  6. Step 6: Final answer
    x = 270.24

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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.