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Finding the Fourth Proportional to 254.73, 381.69 and 200.64

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Solution

The fourth proportional to 254.73, 381.69 and 200.64 is: 300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.73 : 381.69 = 200.64 : x
  2. Step 2: Convert to fraction form
    254.73/381.69 = 200.64/x
  3. Step 3: Cross multiply
    254.73x = 381.69 × 200.64
  4. Step 4: Simplify right side
    254.73x = 76,582.28
  5. Step 5: Solve for x
    x = 76,582.28/254.73
  6. Step 6: Final answer
    x = 300.64

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