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Finding the Fourth Proportional to 139.77, 209.39 and 133.97

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Solution

The fourth proportional to 139.77, 209.39 and 133.97 is: 200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.77 : 209.39 = 133.97 : x
  2. Step 2: Convert to fraction form
    139.77/209.39 = 133.97/x
  3. Step 3: Cross multiply
    139.77x = 209.39 × 133.97
  4. Step 4: Simplify right side
    139.77x = 28,050.26
  5. Step 5: Solve for x
    x = 28,050.26/139.77
  6. Step 6: Final answer
    x = 200.69

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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.