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Finding the Fourth Proportional to 385.47, 578.24 and 138.73

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Solution

The fourth proportional to 385.47, 578.24 and 138.73 is: 208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.47 : 578.24 = 138.73 : x
  2. Step 2: Convert to fraction form
    385.47/578.24 = 138.73/x
  3. Step 3: Cross multiply
    385.47x = 578.24 × 138.73
  4. Step 4: Simplify right side
    385.47x = 80,218.14
  5. Step 5: Solve for x
    x = 80,218.14/385.47
  6. Step 6: Final answer
    x = 208.10

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