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Finding the Fourth Proportional to 327.04, 451.28 and 189.04

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Solution

The fourth proportional to 327.04, 451.28 and 189.04 is: 260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.04 : 451.28 = 189.04 : x
  2. Step 2: Convert to fraction form
    327.04/451.28 = 189.04/x
  3. Step 3: Cross multiply
    327.04x = 451.28 × 189.04
  4. Step 4: Simplify right side
    327.04x = 85,309.97
  5. Step 5: Solve for x
    x = 85,309.97/327.04
  6. Step 6: Final answer
    x = 260.85

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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.