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Finding the Fourth Proportional to 322.01, 444.32 and 189.24

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Solution

The fourth proportional to 322.01, 444.32 and 189.24 is: 261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.01 : 444.32 = 189.24 : x
  2. Step 2: Convert to fraction form
    322.01/444.32 = 189.24/x
  3. Step 3: Cross multiply
    322.01x = 444.32 × 189.24
  4. Step 4: Simplify right side
    322.01x = 84,083.12
  5. Step 5: Solve for x
    x = 84,083.12/322.01
  6. Step 6: Final answer
    x = 261.12

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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.