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Finding the Fourth Proportional to 321.97, 444.34 and 189.20

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Solution

The fourth proportional to 321.97, 444.34 and 189.20 is: 261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.97 : 444.34 = 189.20 : x
  2. Step 2: Convert to fraction form
    321.97/444.34 = 189.20/x
  3. Step 3: Cross multiply
    321.97x = 444.34 × 189.20
  4. Step 4: Simplify right side
    321.97x = 84,065.96
  5. Step 5: Solve for x
    x = 84,065.96/321.97
  6. Step 6: Final answer
    x = 261.10

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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.