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Finding the Fourth Proportional to 327.88, 452.46 and 180.52

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Solution

The fourth proportional to 327.88, 452.46 and 180.52 is: 249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.88 : 452.46 = 180.52 : x
  2. Step 2: Convert to fraction form
    327.88/452.46 = 180.52/x
  3. Step 3: Cross multiply
    327.88x = 452.46 × 180.52
  4. Step 4: Simplify right side
    327.88x = 81,674.91
  5. Step 5: Solve for x
    x = 81,674.91/327.88
  6. Step 6: Final answer
    x = 249.10

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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.