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Finding the Fourth Proportional to 201.94, 278.97 and 136.73

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Solution

The fourth proportional to 201.94, 278.97 and 136.73 is: 188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.94 : 278.97 = 136.73 : x
  2. Step 2: Convert to fraction form
    201.94/278.97 = 136.73/x
  3. Step 3: Cross multiply
    201.94x = 278.97 × 136.73
  4. Step 4: Simplify right side
    201.94x = 38,143.57
  5. Step 5: Solve for x
    x = 38,143.57/201.94
  6. Step 6: Final answer
    x = 188.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.