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Finding the Fourth Proportional to 199.26, 296.87 and 195.21

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Solution

The fourth proportional to 199.26, 296.87 and 195.21 is: 290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.26 : 296.87 = 195.21 : x
  2. Step 2: Convert to fraction form
    199.26/296.87 = 195.21/x
  3. Step 3: Cross multiply
    199.26x = 296.87 × 195.21
  4. Step 4: Simplify right side
    199.26x = 57,951.02
  5. Step 5: Solve for x
    x = 57,951.02/199.26
  6. Step 6: Final answer
    x = 290.83

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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.