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Finding the Fourth Proportional to 169.84, 255.36 and 164.08

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Solution

The fourth proportional to 169.84, 255.36 and 164.08 is: 246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.84 : 255.36 = 164.08 : x
  2. Step 2: Convert to fraction form
    169.84/255.36 = 164.08/x
  3. Step 3: Cross multiply
    169.84x = 255.36 × 164.08
  4. Step 4: Simplify right side
    169.84x = 41,899.47
  5. Step 5: Solve for x
    x = 41,899.47/169.84
  6. Step 6: Final answer
    x = 246.70

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