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Finding the Fourth Proportional to 232.02, 319.46 and 196.98

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Solution

The fourth proportional to 232.02, 319.46 and 196.98 is: 271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.02 : 319.46 = 196.98 : x
  2. Step 2: Convert to fraction form
    232.02/319.46 = 196.98/x
  3. Step 3: Cross multiply
    232.02x = 319.46 × 196.98
  4. Step 4: Simplify right side
    232.02x = 62,927.23
  5. Step 5: Solve for x
    x = 62,927.23/232.02
  6. Step 6: Final answer
    x = 271.21

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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.