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Finding the Fourth Proportional to 199.75, 299.68 and 78.15

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Solution

The fourth proportional to 199.75, 299.68 and 78.15 is: 117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.75 : 299.68 = 78.15 : x
  2. Step 2: Convert to fraction form
    199.75/299.68 = 78.15/x
  3. Step 3: Cross multiply
    199.75x = 299.68 × 78.15
  4. Step 4: Simplify right side
    199.75x = 23,419.99
  5. Step 5: Solve for x
    x = 23,419.99/199.75
  6. Step 6: Final answer
    x = 117.25

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