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Finding the Fourth Proportional to 255.21, 381.96 and 194.00

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Solution

The fourth proportional to 255.21, 381.96 and 194.00 is: 290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.21 : 381.96 = 194.00 : x
  2. Step 2: Convert to fraction form
    255.21/381.96 = 194.00/x
  3. Step 3: Cross multiply
    255.21x = 381.96 × 194.00
  4. Step 4: Simplify right side
    255.21x = 74,098.33
  5. Step 5: Solve for x
    x = 74,098.33/255.21
  6. Step 6: Final answer
    x = 290.35

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