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Finding the Fourth Proportional to 384.12, 575.85 and 140.82

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Solution

The fourth proportional to 384.12, 575.85 and 140.82 is: 211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.12 : 575.85 = 140.82 : x
  2. Step 2: Convert to fraction form
    384.12/575.85 = 140.82/x
  3. Step 3: Cross multiply
    384.12x = 575.85 × 140.82
  4. Step 4: Simplify right side
    384.12x = 81,091.20
  5. Step 5: Solve for x
    x = 81,091.20/384.12
  6. Step 6: Final answer
    x = 211.11

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