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Finding the Fourth Proportional to 381.51, 572.09 and 165

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Solution

The fourth proportional to 381.51, 572.09 and 165 is: 247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.51 : 572.09 = 165 : x
  2. Step 2: Convert to fraction form
    381.51/572.09 = 165/x
  3. Step 3: Cross multiply
    381.51x = 572.09 × 165
  4. Step 4: Simplify right side
    381.51x = 94,394.03
  5. Step 5: Solve for x
    x = 94,394.03/381.51
  6. Step 6: Final answer
    x = 247.42

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