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Finding the Fourth Proportional to 321.89, 444.31 and 189.10

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Solution

The fourth proportional to 321.89, 444.31 and 189.10 is: 261.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.89 : 444.31 = 189.10 : x
  2. Step 2: Convert to fraction form
    321.89/444.31 = 189.10/x
  3. Step 3: Cross multiply
    321.89x = 444.31 × 189.10
  4. Step 4: Simplify right side
    321.89x = 84,019.77
  5. Step 5: Solve for x
    x = 84,019.77/321.89
  6. Step 6: Final answer
    x = 261.02

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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.