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Finding the Fourth Proportional to 232.12, 347.41 and 159

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Solution

The fourth proportional to 232.12, 347.41 and 159 is: 237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.12 : 347.41 = 159 : x
  2. Step 2: Convert to fraction form
    232.12/347.41 = 159/x
  3. Step 3: Cross multiply
    232.12x = 347.41 × 159
  4. Step 4: Simplify right side
    232.12x = 55,238.19
  5. Step 5: Solve for x
    x = 55,238.19/232.12
  6. Step 6: Final answer
    x = 237.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.