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Finding the Fourth Proportional to 351.32, 484.84 and 196.06

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Solution

The fourth proportional to 351.32, 484.84 and 196.06 is: 270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.32 : 484.84 = 196.06 : x
  2. Step 2: Convert to fraction form
    351.32/484.84 = 196.06/x
  3. Step 3: Cross multiply
    351.32x = 484.84 × 196.06
  4. Step 4: Simplify right side
    351.32x = 95,057.73
  5. Step 5: Solve for x
    x = 95,057.73/351.32
  6. Step 6: Final answer
    x = 270.57

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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.