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Finding the Fourth Proportional to 288.20, 432.30 and 179.84

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Solution

The fourth proportional to 288.20, 432.30 and 179.84 is: 269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.20 : 432.30 = 179.84 : x
  2. Step 2: Convert to fraction form
    288.20/432.30 = 179.84/x
  3. Step 3: Cross multiply
    288.20x = 432.30 × 179.84
  4. Step 4: Simplify right side
    288.20x = 77,744.83
  5. Step 5: Solve for x
    x = 77,744.83/288.20
  6. Step 6: Final answer
    x = 269.76

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