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Finding the Fourth Proportional to 259.02, 387.96 and 194.16

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Solution

The fourth proportional to 259.02, 387.96 and 194.16 is: 290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.02 : 387.96 = 194.16 : x
  2. Step 2: Convert to fraction form
    259.02/387.96 = 194.16/x
  3. Step 3: Cross multiply
    259.02x = 387.96 × 194.16
  4. Step 4: Simplify right side
    259.02x = 75,326.31
  5. Step 5: Solve for x
    x = 75,326.31/259.02
  6. Step 6: Final answer
    x = 290.81

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