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Finding the Fourth Proportional to 232.84, 321.45 and 180.50

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Solution

The fourth proportional to 232.84, 321.45 and 180.50 is: 249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.84 : 321.45 = 180.50 : x
  2. Step 2: Convert to fraction form
    232.84/321.45 = 180.50/x
  3. Step 3: Cross multiply
    232.84x = 321.45 × 180.50
  4. Step 4: Simplify right side
    232.84x = 58,021.73
  5. Step 5: Solve for x
    x = 58,021.73/232.84
  6. Step 6: Final answer
    x = 249.20

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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.