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Finding the Fourth Proportional to 343.27, 473.60 and 195.85

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Solution

The fourth proportional to 343.27, 473.60 and 195.85 is: 270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.27 : 473.60 = 195.85 : x
  2. Step 2: Convert to fraction form
    343.27/473.60 = 195.85/x
  3. Step 3: Cross multiply
    343.27x = 473.60 × 195.85
  4. Step 4: Simplify right side
    343.27x = 92,754.56
  5. Step 5: Solve for x
    x = 92,754.56/343.27
  6. Step 6: Final answer
    x = 270.21

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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.