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Finding the Fourth Proportional to 253.81, 380.69 and 89.25

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Solution

The fourth proportional to 253.81, 380.69 and 89.25 is: 133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.81 : 380.69 = 89.25 : x
  2. Step 2: Convert to fraction form
    253.81/380.69 = 89.25/x
  3. Step 3: Cross multiply
    253.81x = 380.69 × 89.25
  4. Step 4: Simplify right side
    253.81x = 33,976.14
  5. Step 5: Solve for x
    x = 33,976.14/253.81
  6. Step 6: Final answer
    x = 133.87

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