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Finding the Fourth Proportional to 327.49, 451.91 and 180.09

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Solution

The fourth proportional to 327.49, 451.91 and 180.09 is: 248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.49 : 451.91 = 180.09 : x
  2. Step 2: Convert to fraction form
    327.49/451.91 = 180.09/x
  3. Step 3: Cross multiply
    327.49x = 451.91 × 180.09
  4. Step 4: Simplify right side
    327.49x = 81,384.92
  5. Step 5: Solve for x
    x = 81,384.92/327.49
  6. Step 6: Final answer
    x = 248.51

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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.