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Finding the Fourth Proportional to 351.38, 484.91 and 196.14

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Solution

The fourth proportional to 351.38, 484.91 and 196.14 is: 270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.38 : 484.91 = 196.14 : x
  2. Step 2: Convert to fraction form
    351.38/484.91 = 196.14/x
  3. Step 3: Cross multiply
    351.38x = 484.91 × 196.14
  4. Step 4: Simplify right side
    351.38x = 95,110.25
  5. Step 5: Solve for x
    x = 95,110.25/351.38
  6. Step 6: Final answer
    x = 270.68

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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.