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Finding the Fourth Proportional to 321.80, 443.95 and 181.87

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Solution

The fourth proportional to 321.80, 443.95 and 181.87 is: 250.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.80 : 443.95 = 181.87 : x
  2. Step 2: Convert to fraction form
    321.80/443.95 = 181.87/x
  3. Step 3: Cross multiply
    321.80x = 443.95 × 181.87
  4. Step 4: Simplify right side
    321.80x = 80,742.12
  5. Step 5: Solve for x
    x = 80,742.12/321.80
  6. Step 6: Final answer
    x = 250.91

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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.