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Finding the Fourth Proportional to 209.81, 289.22 and 139.74

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Solution

The fourth proportional to 209.81, 289.22 and 139.74 is: 192.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.81 : 289.22 = 139.74 : x
  2. Step 2: Convert to fraction form
    209.81/289.22 = 139.74/x
  3. Step 3: Cross multiply
    209.81x = 289.22 × 139.74
  4. Step 4: Simplify right side
    209.81x = 40,414.90
  5. Step 5: Solve for x
    x = 40,414.90/209.81
  6. Step 6: Final answer
    x = 192.63

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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.