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Finding the Fourth Proportional to 385.85, 578.88 and 142.45

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Solution

The fourth proportional to 385.85, 578.88 and 142.45 is: 213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.85 : 578.88 = 142.45 : x
  2. Step 2: Convert to fraction form
    385.85/578.88 = 142.45/x
  3. Step 3: Cross multiply
    385.85x = 578.88 × 142.45
  4. Step 4: Simplify right side
    385.85x = 82,460.01
  5. Step 5: Solve for x
    x = 82,460.01/385.85
  6. Step 6: Final answer
    x = 213.71

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