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Finding the Fourth Proportional to 353.66, 488.05 and 196.29

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Solution

The fourth proportional to 353.66, 488.05 and 196.29 is: 270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.66 : 488.05 = 196.29 : x
  2. Step 2: Convert to fraction form
    353.66/488.05 = 196.29/x
  3. Step 3: Cross multiply
    353.66x = 488.05 × 196.29
  4. Step 4: Simplify right side
    353.66x = 95,799.33
  5. Step 5: Solve for x
    x = 95,799.33/353.66
  6. Step 6: Final answer
    x = 270.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.