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Finding the Fourth Proportional to 255.13, 382.89 and 133.43

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Solution

The fourth proportional to 255.13, 382.89 and 133.43 is: 200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.13 : 382.89 = 133.43 : x
  2. Step 2: Convert to fraction form
    255.13/382.89 = 133.43/x
  3. Step 3: Cross multiply
    255.13x = 382.89 × 133.43
  4. Step 4: Simplify right side
    255.13x = 51,089.01
  5. Step 5: Solve for x
    x = 51,089.01/255.13
  6. Step 6: Final answer
    x = 200.25

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