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Finding the Fourth Proportional to 381.92, 572.77 and 199.22

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Solution

The fourth proportional to 381.92, 572.77 and 199.22 is: 298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.92 : 572.77 = 199.22 : x
  2. Step 2: Convert to fraction form
    381.92/572.77 = 199.22/x
  3. Step 3: Cross multiply
    381.92x = 572.77 × 199.22
  4. Step 4: Simplify right side
    381.92x = 114,106.24
  5. Step 5: Solve for x
    x = 114,106.24/381.92
  6. Step 6: Final answer
    x = 298.77

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