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Finding the Fourth Proportional to 139.63, 209.13 and 119.38

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Solution

The fourth proportional to 139.63, 209.13 and 119.38 is: 178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.63 : 209.13 = 119.38 : x
  2. Step 2: Convert to fraction form
    139.63/209.13 = 119.38/x
  3. Step 3: Cross multiply
    139.63x = 209.13 × 119.38
  4. Step 4: Simplify right side
    139.63x = 24,965.94
  5. Step 5: Solve for x
    x = 24,965.94/139.63
  6. Step 6: Final answer
    x = 178.80

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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.