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Finding the Fourth Proportional to 384.23, 576.43 and 140.78

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Solution

The fourth proportional to 384.23, 576.43 and 140.78 is: 211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.23 : 576.43 = 140.78 : x
  2. Step 2: Convert to fraction form
    384.23/576.43 = 140.78/x
  3. Step 3: Cross multiply
    384.23x = 576.43 × 140.78
  4. Step 4: Simplify right side
    384.23x = 81,150.90
  5. Step 5: Solve for x
    x = 81,150.90/384.23
  6. Step 6: Final answer
    x = 211.20

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