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Finding the Fourth Proportional to 343.74, 474.25 and 196.27

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Solution

The fourth proportional to 343.74, 474.25 and 196.27 is: 270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.74 : 474.25 = 196.27 : x
  2. Step 2: Convert to fraction form
    343.74/474.25 = 196.27/x
  3. Step 3: Cross multiply
    343.74x = 474.25 × 196.27
  4. Step 4: Simplify right side
    343.74x = 93,081.05
  5. Step 5: Solve for x
    x = 93,081.05/343.74
  6. Step 6: Final answer
    x = 270.79

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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.