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Finding the Fourth Proportional to 276.24, 414.15 and 102.84

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Solution

The fourth proportional to 276.24, 414.15 and 102.84 is: 154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.24 : 414.15 = 102.84 : x
  2. Step 2: Convert to fraction form
    276.24/414.15 = 102.84/x
  3. Step 3: Cross multiply
    276.24x = 414.15 × 102.84
  4. Step 4: Simplify right side
    276.24x = 42,591.19
  5. Step 5: Solve for x
    x = 42,591.19/276.24
  6. Step 6: Final answer
    x = 154.18

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