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Finding the Fourth Proportional to 353.76, 488.22 and 196.43

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Solution

The fourth proportional to 353.76, 488.22 and 196.43 is: 271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.76 : 488.22 = 196.43 : x
  2. Step 2: Convert to fraction form
    353.76/488.22 = 196.43/x
  3. Step 3: Cross multiply
    353.76x = 488.22 × 196.43
  4. Step 4: Simplify right side
    353.76x = 95,901.05
  5. Step 5: Solve for x
    x = 95,901.05/353.76
  6. Step 6: Final answer
    x = 271.09

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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.