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Finding the Fourth Proportional to 256.73, 384.69 and 199.29

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Solution

The fourth proportional to 256.73, 384.69 and 199.29 is: 298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.73 : 384.69 = 199.29 : x
  2. Step 2: Convert to fraction form
    256.73/384.69 = 199.29/x
  3. Step 3: Cross multiply
    256.73x = 384.69 × 199.29
  4. Step 4: Simplify right side
    256.73x = 76,664.87
  5. Step 5: Solve for x
    x = 76,664.87/256.73
  6. Step 6: Final answer
    x = 298.62

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