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Finding the Fourth Proportional to 255.22, 382.42 and 194.16

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Solution

The fourth proportional to 255.22, 382.42 and 194.16 is: 290.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.22 : 382.42 = 194.16 : x
  2. Step 2: Convert to fraction form
    255.22/382.42 = 194.16/x
  3. Step 3: Cross multiply
    255.22x = 382.42 × 194.16
  4. Step 4: Simplify right side
    255.22x = 74,252.34
  5. Step 5: Solve for x
    x = 74,252.34/255.22
  6. Step 6: Final answer
    x = 290.94

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