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Finding the Fourth Proportional to 343.71, 474.24 and 196.31

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Solution

The fourth proportional to 343.71, 474.24 and 196.31 is: 270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.71 : 474.24 = 196.31 : x
  2. Step 2: Convert to fraction form
    343.71/474.24 = 196.31/x
  3. Step 3: Cross multiply
    343.71x = 474.24 × 196.31
  4. Step 4: Simplify right side
    343.71x = 93,098.05
  5. Step 5: Solve for x
    x = 93,098.05/343.71
  6. Step 6: Final answer
    x = 270.86

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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.