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Finding the Fourth Proportional to 189, 260.58 and 165.92

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Solution

The fourth proportional to 189, 260.58 and 165.92 is: 228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189 : 260.58 = 165.92 : x
  2. Step 2: Convert to fraction form
    189/260.58 = 165.92/x
  3. Step 3: Cross multiply
    189x = 260.58 × 165.92
  4. Step 4: Simplify right side
    189x = 43,235.43
  5. Step 5: Solve for x
    x = 43,235.43/189
  6. Step 6: Final answer
    x = 228.76

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