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Finding the Fourth Proportional to 254.85, 382.16 and 100.83

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Solution

The fourth proportional to 254.85, 382.16 and 100.83 is: 151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.85 : 382.16 = 100.83 : x
  2. Step 2: Convert to fraction form
    254.85/382.16 = 100.83/x
  3. Step 3: Cross multiply
    254.85x = 382.16 × 100.83
  4. Step 4: Simplify right side
    254.85x = 38,532.69
  5. Step 5: Solve for x
    x = 38,532.69/254.85
  6. Step 6: Final answer
    x = 151.20

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