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Finding the Fourth Proportional to 288.20, 432.18 and 95.78

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Solution

The fourth proportional to 288.20, 432.18 and 95.78 is: 143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.20 : 432.18 = 95.78 : x
  2. Step 2: Convert to fraction form
    288.20/432.18 = 95.78/x
  3. Step 3: Cross multiply
    288.20x = 432.18 × 95.78
  4. Step 4: Simplify right side
    288.20x = 41,394.20
  5. Step 5: Solve for x
    x = 41,394.20/288.20
  6. Step 6: Final answer
    x = 143.63

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