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Finding the Fourth Proportional to 199.02, 298.64 and 77.38

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Solution

The fourth proportional to 199.02, 298.64 and 77.38 is: 116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.02 : 298.64 = 77.38 : x
  2. Step 2: Convert to fraction form
    199.02/298.64 = 77.38/x
  3. Step 3: Cross multiply
    199.02x = 298.64 × 77.38
  4. Step 4: Simplify right side
    199.02x = 23,108.76
  5. Step 5: Solve for x
    x = 23,108.76/199.02
  6. Step 6: Final answer
    x = 116.11

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