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Finding the Fourth Proportional to 288.02, 397.33 and 189.74

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Solution

The fourth proportional to 288.02, 397.33 and 189.74 is: 261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.02 : 397.33 = 189.74 : x
  2. Step 2: Convert to fraction form
    288.02/397.33 = 189.74/x
  3. Step 3: Cross multiply
    288.02x = 397.33 × 189.74
  4. Step 4: Simplify right side
    288.02x = 75,389.91
  5. Step 5: Solve for x
    x = 75,389.91/288.02
  6. Step 6: Final answer
    x = 261.75

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