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Finding the Fourth Proportional to 353.68, 488.07 and 196.33

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Solution

The fourth proportional to 353.68, 488.07 and 196.33 is: 270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.68 : 488.07 = 196.33 : x
  2. Step 2: Convert to fraction form
    353.68/488.07 = 196.33/x
  3. Step 3: Cross multiply
    353.68x = 488.07 × 196.33
  4. Step 4: Simplify right side
    353.68x = 95,819.36
  5. Step 5: Solve for x
    x = 95,819.36/353.68
  6. Step 6: Final answer
    x = 270.92

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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.