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Finding the Fourth Proportional to 232.71, 347.42 and 196.26

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Solution

The fourth proportional to 232.71, 347.42 and 196.26 is: 293.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.71 : 347.42 = 196.26 : x
  2. Step 2: Convert to fraction form
    232.71/347.42 = 196.26/x
  3. Step 3: Cross multiply
    232.71x = 347.42 × 196.26
  4. Step 4: Simplify right side
    232.71x = 68,183.67
  5. Step 5: Solve for x
    x = 68,183.67/232.71
  6. Step 6: Final answer
    x = 293.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.