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Finding the Fourth Proportional to 378.05, 567.21 and 185.54

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Solution

The fourth proportional to 378.05, 567.21 and 185.54 is: 278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.05 : 567.21 = 185.54 : x
  2. Step 2: Convert to fraction form
    378.05/567.21 = 185.54/x
  3. Step 3: Cross multiply
    378.05x = 567.21 × 185.54
  4. Step 4: Simplify right side
    378.05x = 105,237.31
  5. Step 5: Solve for x
    x = 105,237.31/378.05
  6. Step 6: Final answer
    x = 278.37

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