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Finding the Fourth Proportional to 232.90, 320.67 and 197.86

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Solution

The fourth proportional to 232.90, 320.67 and 197.86 is: 272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.90 : 320.67 = 197.86 : x
  2. Step 2: Convert to fraction form
    232.90/320.67 = 197.86/x
  3. Step 3: Cross multiply
    232.90x = 320.67 × 197.86
  4. Step 4: Simplify right side
    232.90x = 63,447.77
  5. Step 5: Solve for x
    x = 63,447.77/232.90
  6. Step 6: Final answer
    x = 272.42

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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.