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Finding the Fourth Proportional to 139.69, 209.60 and 119.30

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Solution

The fourth proportional to 139.69, 209.60 and 119.30 is: 179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.69 : 209.60 = 119.30 : x
  2. Step 2: Convert to fraction form
    139.69/209.60 = 119.30/x
  3. Step 3: Cross multiply
    139.69x = 209.60 × 119.30
  4. Step 4: Simplify right side
    139.69x = 25,005.28
  5. Step 5: Solve for x
    x = 25,005.28/139.69
  6. Step 6: Final answer
    x = 179.01

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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.