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Finding the Fourth Proportional to 139.43, 208.78 and 78.27

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Solution

The fourth proportional to 139.43, 208.78 and 78.27 is: 117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.43 : 208.78 = 78.27 : x
  2. Step 2: Convert to fraction form
    139.43/208.78 = 78.27/x
  3. Step 3: Cross multiply
    139.43x = 208.78 × 78.27
  4. Step 4: Simplify right side
    139.43x = 16,341.31
  5. Step 5: Solve for x
    x = 16,341.31/139.43
  6. Step 6: Final answer
    x = 117.21

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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.