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Finding the Fourth Proportional to 353.05, 487.21 and 195.70

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Solution

The fourth proportional to 353.05, 487.21 and 195.70 is: 270.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.05 : 487.21 = 195.70 : x
  2. Step 2: Convert to fraction form
    353.05/487.21 = 195.70/x
  3. Step 3: Cross multiply
    353.05x = 487.21 × 195.70
  4. Step 4: Simplify right side
    353.05x = 95,343.58
  5. Step 5: Solve for x
    x = 95,343.58/353.05
  6. Step 6: Final answer
    x = 270.06

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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.