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Finding the Fourth Proportional to 201.30, 299.90 and 193.97

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Solution

The fourth proportional to 201.30, 299.90 and 193.97 is: 288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.30 : 299.90 = 193.97 : x
  2. Step 2: Convert to fraction form
    201.30/299.90 = 193.97/x
  3. Step 3: Cross multiply
    201.30x = 299.90 × 193.97
  4. Step 4: Simplify right side
    201.30x = 58,169.13
  5. Step 5: Solve for x
    x = 58,169.13/201.30
  6. Step 6: Final answer
    x = 288.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.