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Finding the Fourth Proportional to 199.76, 299.69 and 78.02

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Solution

The fourth proportional to 199.76, 299.69 and 78.02 is: 117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.76 : 299.69 = 78.02 : x
  2. Step 2: Convert to fraction form
    199.76/299.69 = 78.02/x
  3. Step 3: Cross multiply
    199.76x = 299.69 × 78.02
  4. Step 4: Simplify right side
    199.76x = 23,382.17
  5. Step 5: Solve for x
    x = 23,382.17/199.76
  6. Step 6: Final answer
    x = 117.05

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