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Finding the Fourth Proportional to 321.63, 443.82 and 181.74

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Solution

The fourth proportional to 321.63, 443.82 and 181.74 is: 250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.63 : 443.82 = 181.74 : x
  2. Step 2: Convert to fraction form
    321.63/443.82 = 181.74/x
  3. Step 3: Cross multiply
    321.63x = 443.82 × 181.74
  4. Step 4: Simplify right side
    321.63x = 80,659.85
  5. Step 5: Solve for x
    x = 80,659.85/321.63
  6. Step 6: Final answer
    x = 250.78

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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.