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Finding the Fourth Proportional to 327.42, 451.80 and 180.02

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Solution

The fourth proportional to 327.42, 451.80 and 180.02 is: 248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.42 : 451.80 = 180.02 : x
  2. Step 2: Convert to fraction form
    327.42/451.80 = 180.02/x
  3. Step 3: Cross multiply
    327.42x = 451.80 × 180.02
  4. Step 4: Simplify right side
    327.42x = 81,334.17
  5. Step 5: Solve for x
    x = 81,334.17/327.42
  6. Step 6: Final answer
    x = 248.41

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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.