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Finding the Fourth Proportional to 232.20, 347.96 and 201.82

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Solution

The fourth proportional to 232.20, 347.96 and 201.82 is: 302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.20 : 347.96 = 201.82 : x
  2. Step 2: Convert to fraction form
    232.20/347.96 = 201.82/x
  3. Step 3: Cross multiply
    232.20x = 347.96 × 201.82
  4. Step 4: Simplify right side
    232.20x = 70,225.29
  5. Step 5: Solve for x
    x = 70,225.29/232.20
  6. Step 6: Final answer
    x = 302.43

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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.