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Finding the Fourth Proportional to 294.93, 407 and 163.94

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Solution

The fourth proportional to 294.93, 407 and 163.94 is: 226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.93 : 407 = 163.94 : x
  2. Step 2: Convert to fraction form
    294.93/407 = 163.94/x
  3. Step 3: Cross multiply
    294.93x = 407 × 163.94
  4. Step 4: Simplify right side
    294.93x = 66,723.58
  5. Step 5: Solve for x
    x = 66,723.58/294.93
  6. Step 6: Final answer
    x = 226.24

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