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Finding the Fourth Proportional to 200.97, 301.55 and 92.83

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Solution

The fourth proportional to 200.97, 301.55 and 92.83 is: 139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.97 : 301.55 = 92.83 : x
  2. Step 2: Convert to fraction form
    200.97/301.55 = 92.83/x
  3. Step 3: Cross multiply
    200.97x = 301.55 × 92.83
  4. Step 4: Simplify right side
    200.97x = 27,993.87
  5. Step 5: Solve for x
    x = 27,993.87/200.97
  6. Step 6: Final answer
    x = 139.30

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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.