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Finding the Fourth Proportional to 327.98, 452.59 and 180.56

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Solution

The fourth proportional to 327.98, 452.59 and 180.56 is: 249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.98 : 452.59 = 180.56 : x
  2. Step 2: Convert to fraction form
    327.98/452.59 = 180.56/x
  3. Step 3: Cross multiply
    327.98x = 452.59 × 180.56
  4. Step 4: Simplify right side
    327.98x = 81,720.33
  5. Step 5: Solve for x
    x = 81,720.33/327.98
  6. Step 6: Final answer
    x = 249.16

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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.