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Finding the Fourth Proportional to 321.30, 443.42 and 181.48

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Solution

The fourth proportional to 321.30, 443.42 and 181.48 is: 250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.30 : 443.42 = 181.48 : x
  2. Step 2: Convert to fraction form
    321.30/443.42 = 181.48/x
  3. Step 3: Cross multiply
    321.30x = 443.42 × 181.48
  4. Step 4: Simplify right side
    321.30x = 80,471.21
  5. Step 5: Solve for x
    x = 80,471.21/321.30
  6. Step 6: Final answer
    x = 250.46

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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.