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Finding the Fourth Proportional to 264.15, 396.21 and 71.78

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Solution

The fourth proportional to 264.15, 396.21 and 71.78 is: 107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.15 : 396.21 = 71.78 : x
  2. Step 2: Convert to fraction form
    264.15/396.21 = 71.78/x
  3. Step 3: Cross multiply
    264.15x = 396.21 × 71.78
  4. Step 4: Simplify right side
    264.15x = 28,437.97
  5. Step 5: Solve for x
    x = 28,437.97/264.15
  6. Step 6: Final answer
    x = 107.66

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