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Finding the Fourth Proportional to 343.39, 473.83 and 195.97

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Solution

The fourth proportional to 343.39, 473.83 and 195.97 is: 270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.39 : 473.83 = 195.97 : x
  2. Step 2: Convert to fraction form
    343.39/473.83 = 195.97/x
  3. Step 3: Cross multiply
    343.39x = 473.83 × 195.97
  4. Step 4: Simplify right side
    343.39x = 92,856.47
  5. Step 5: Solve for x
    x = 92,856.47/343.39
  6. Step 6: Final answer
    x = 270.41

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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.