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Finding the Fourth Proportional to 200.73, 301.11 and 120.09

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Solution

The fourth proportional to 200.73, 301.11 and 120.09 is: 180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.73 : 301.11 = 120.09 : x
  2. Step 2: Convert to fraction form
    200.73/301.11 = 120.09/x
  3. Step 3: Cross multiply
    200.73x = 301.11 × 120.09
  4. Step 4: Simplify right side
    200.73x = 36,160.30
  5. Step 5: Solve for x
    x = 36,160.30/200.73
  6. Step 6: Final answer
    x = 180.14

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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.