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Finding the Fourth Proportional to 321.82, 444.08 and 181.94

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Solution

The fourth proportional to 321.82, 444.08 and 181.94 is: 251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.82 : 444.08 = 181.94 : x
  2. Step 2: Convert to fraction form
    321.82/444.08 = 181.94/x
  3. Step 3: Cross multiply
    321.82x = 444.08 × 181.94
  4. Step 4: Simplify right side
    321.82x = 80,794.15
  5. Step 5: Solve for x
    x = 80,794.15/321.82
  6. Step 6: Final answer
    x = 251.06

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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.