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Finding the Fourth Proportional to 327.57, 452.06 and 180.21

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Solution

The fourth proportional to 327.57, 452.06 and 180.21 is: 248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.57 : 452.06 = 180.21 : x
  2. Step 2: Convert to fraction form
    327.57/452.06 = 180.21/x
  3. Step 3: Cross multiply
    327.57x = 452.06 × 180.21
  4. Step 4: Simplify right side
    327.57x = 81,465.73
  5. Step 5: Solve for x
    x = 81,465.73/327.57
  6. Step 6: Final answer
    x = 248.70

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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.