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Finding the Fourth Proportional to 385.88, 578.85 and 142.37

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Solution

The fourth proportional to 385.88, 578.85 and 142.37 is: 213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.88 : 578.85 = 142.37 : x
  2. Step 2: Convert to fraction form
    385.88/578.85 = 142.37/x
  3. Step 3: Cross multiply
    385.88x = 578.85 × 142.37
  4. Step 4: Simplify right side
    385.88x = 82,407.98
  5. Step 5: Solve for x
    x = 82,407.98/385.88
  6. Step 6: Final answer
    x = 213.56

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