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Finding the Fourth Proportional to 278.84, 384.81 and 162.43

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Solution

The fourth proportional to 278.84, 384.81 and 162.43 is: 224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.84 : 384.81 = 162.43 : x
  2. Step 2: Convert to fraction form
    278.84/384.81 = 162.43/x
  3. Step 3: Cross multiply
    278.84x = 384.81 × 162.43
  4. Step 4: Simplify right side
    278.84x = 62,504.69
  5. Step 5: Solve for x
    x = 62,504.69/278.84
  6. Step 6: Final answer
    x = 224.16

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