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Finding the Fourth Proportional to 321.85, 444.14 and 181.97

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Solution

The fourth proportional to 321.85, 444.14 and 181.97 is: 251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.85 : 444.14 = 181.97 : x
  2. Step 2: Convert to fraction form
    321.85/444.14 = 181.97/x
  3. Step 3: Cross multiply
    321.85x = 444.14 × 181.97
  4. Step 4: Simplify right side
    321.85x = 80,820.16
  5. Step 5: Solve for x
    x = 80,820.16/321.85
  6. Step 6: Final answer
    x = 251.11

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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.