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Finding the Fourth Proportional to 258.91, 357.18 and 165.64

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Solution

The fourth proportional to 258.91, 357.18 and 165.64 is: 228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.91 : 357.18 = 165.64 : x
  2. Step 2: Convert to fraction form
    258.91/357.18 = 165.64/x
  3. Step 3: Cross multiply
    258.91x = 357.18 × 165.64
  4. Step 4: Simplify right side
    258.91x = 59,163.30
  5. Step 5: Solve for x
    x = 59,163.30/258.91
  6. Step 6: Final answer
    x = 228.51

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