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Finding the Fourth Proportional to 139.25, 208.46 and 111.98

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Solution

The fourth proportional to 139.25, 208.46 and 111.98 is: 167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.25 : 208.46 = 111.98 : x
  2. Step 2: Convert to fraction form
    139.25/208.46 = 111.98/x
  3. Step 3: Cross multiply
    139.25x = 208.46 × 111.98
  4. Step 4: Simplify right side
    139.25x = 23,341.75
  5. Step 5: Solve for x
    x = 23,341.75/139.25
  6. Step 6: Final answer
    x = 167.63

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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.