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Finding the Fourth Proportional to 598, 896.96 and 165.16

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Solution

The fourth proportional to 598, 896.96 and 165.16 is: 247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    598 : 896.96 = 165.16 : x
  2. Step 2: Convert to fraction form
    598/896.96 = 165.16/x
  3. Step 3: Cross multiply
    598x = 896.96 × 165.16
  4. Step 4: Simplify right side
    598x = 148,141.91
  5. Step 5: Solve for x
    x = 148,141.91/598
  6. Step 6: Final answer
    x = 247.73

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