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Finding the Fourth Proportional to 149.14, 205.85 and 136.85

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Solution

The fourth proportional to 149.14, 205.85 and 136.85 is: 188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.14 : 205.85 = 136.85 : x
  2. Step 2: Convert to fraction form
    149.14/205.85 = 136.85/x
  3. Step 3: Cross multiply
    149.14x = 205.85 × 136.85
  4. Step 4: Simplify right side
    149.14x = 28,170.57
  5. Step 5: Solve for x
    x = 28,170.57/149.14
  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.