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Finding the Fourth Proportional to 232.34, 319.89 and 197.30

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Solution

The fourth proportional to 232.34, 319.89 and 197.30 is: 271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.34 : 319.89 = 197.30 : x
  2. Step 2: Convert to fraction form
    232.34/319.89 = 197.30/x
  3. Step 3: Cross multiply
    232.34x = 319.89 × 197.30
  4. Step 4: Simplify right side
    232.34x = 63,112.70
  5. Step 5: Solve for x
    x = 63,112.70/232.34
  6. Step 6: Final answer
    x = 271.65

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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.