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Finding the Fourth Proportional to 199.56, 299.16 and 77.74

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Solution

The fourth proportional to 199.56, 299.16 and 77.74 is: 116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.56 : 299.16 = 77.74 : x
  2. Step 2: Convert to fraction form
    199.56/299.16 = 77.74/x
  3. Step 3: Cross multiply
    199.56x = 299.16 × 77.74
  4. Step 4: Simplify right side
    199.56x = 23,256.70
  5. Step 5: Solve for x
    x = 23,256.70/199.56
  6. Step 6: Final answer
    x = 116.54

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