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Finding the Fourth Proportional to 327.98, 452.42 and 197.02

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Solution

The fourth proportional to 327.98, 452.42 and 197.02 is: 271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.98 : 452.42 = 197.02 : x
  2. Step 2: Convert to fraction form
    327.98/452.42 = 197.02/x
  3. Step 3: Cross multiply
    327.98x = 452.42 × 197.02
  4. Step 4: Simplify right side
    327.98x = 89,135.79
  5. Step 5: Solve for x
    x = 89,135.79/327.98
  6. Step 6: Final answer
    x = 271.77

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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.