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Finding the Fourth Proportional to 327.26, 451.44 and 202.94

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Solution

The fourth proportional to 327.26, 451.44 and 202.94 is: 279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.26 : 451.44 = 202.94 : x
  2. Step 2: Convert to fraction form
    327.26/451.44 = 202.94/x
  3. Step 3: Cross multiply
    327.26x = 451.44 × 202.94
  4. Step 4: Simplify right side
    327.26x = 91,615.23
  5. Step 5: Solve for x
    x = 91,615.23/327.26
  6. Step 6: Final answer
    x = 279.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.