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Finding the Fourth Proportional to 353.06, 487.23 and 195.70

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Solution

The fourth proportional to 353.06, 487.23 and 195.70 is: 270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.06 : 487.23 = 195.70 : x
  2. Step 2: Convert to fraction form
    353.06/487.23 = 195.70/x
  3. Step 3: Cross multiply
    353.06x = 487.23 × 195.70
  4. Step 4: Simplify right side
    353.06x = 95,350.97
  5. Step 5: Solve for x
    x = 95,350.97/353.06
  6. Step 6: Final answer
    x = 270.07

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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.