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Finding the Fourth Proportional to 254.62, 381.82 and 98.40

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Solution

The fourth proportional to 254.62, 381.82 and 98.40 is: 147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.62 : 381.82 = 98.40 : x
  2. Step 2: Convert to fraction form
    254.62/381.82 = 98.40/x
  3. Step 3: Cross multiply
    254.62x = 381.82 × 98.40
  4. Step 4: Simplify right side
    254.62x = 37,571.09
  5. Step 5: Solve for x
    x = 37,571.09/254.62
  6. Step 6: Final answer
    x = 147.56

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