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Finding the Fourth Proportional to 327.16, 451.74 and 202.96

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Solution

The fourth proportional to 327.16, 451.74 and 202.96 is: 280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.16 : 451.74 = 202.96 : x
  2. Step 2: Convert to fraction form
    327.16/451.74 = 202.96/x
  3. Step 3: Cross multiply
    327.16x = 451.74 × 202.96
  4. Step 4: Simplify right side
    327.16x = 91,685.15
  5. Step 5: Solve for x
    x = 91,685.15/327.16
  6. Step 6: Final answer
    x = 280.25

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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.