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Finding the Fourth Proportional to 294.80, 406.90 and 189.96

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Solution

The fourth proportional to 294.80, 406.90 and 189.96 is: 262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.80 : 406.90 = 189.96 : x
  2. Step 2: Convert to fraction form
    294.80/406.90 = 189.96/x
  3. Step 3: Cross multiply
    294.80x = 406.90 × 189.96
  4. Step 4: Simplify right side
    294.80x = 77,294.72
  5. Step 5: Solve for x
    x = 77,294.72/294.80
  6. Step 6: Final answer
    x = 262.19

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