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Finding the Fourth Proportional to 201.75, 302.62 and 195.97

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Solution

The fourth proportional to 201.75, 302.62 and 195.97 is: 293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.75 : 302.62 = 195.97 : x
  2. Step 2: Convert to fraction form
    201.75/302.62 = 195.97/x
  3. Step 3: Cross multiply
    201.75x = 302.62 × 195.97
  4. Step 4: Simplify right side
    201.75x = 59,304.44
  5. Step 5: Solve for x
    x = 59,304.44/201.75
  6. Step 6: Final answer
    x = 293.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.