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Finding the Fourth Proportional to 232.84, 321.54 and 196.36

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Solution

The fourth proportional to 232.84, 321.54 and 196.36 is: 271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.84 : 321.54 = 196.36 : x
  2. Step 2: Convert to fraction form
    232.84/321.54 = 196.36/x
  3. Step 3: Cross multiply
    232.84x = 321.54 × 196.36
  4. Step 4: Simplify right side
    232.84x = 63,137.59
  5. Step 5: Solve for x
    x = 63,137.59/232.84
  6. Step 6: Final answer
    x = 271.16

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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.