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Finding the Fourth Proportional to 327.94, 452.55 and 180.57

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Solution

The fourth proportional to 327.94, 452.55 and 180.57 is: 249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.94 : 452.55 = 180.57 : x
  2. Step 2: Convert to fraction form
    327.94/452.55 = 180.57/x
  3. Step 3: Cross multiply
    327.94x = 452.55 × 180.57
  4. Step 4: Simplify right side
    327.94x = 81,718.05
  5. Step 5: Solve for x
    x = 81,718.05/327.94
  6. Step 6: Final answer
    x = 249.19

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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.