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Finding the Fourth Proportional to 164, 245.92 and 77.28

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Solution

The fourth proportional to 164, 245.92 and 77.28 is: 115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 245.92 = 77.28 : x
  2. Step 2: Convert to fraction form
    164/245.92 = 77.28/x
  3. Step 3: Cross multiply
    164x = 245.92 × 77.28
  4. Step 4: Simplify right side
    164x = 19,004.70
  5. Step 5: Solve for x
    x = 19,004.70/164
  6. Step 6: Final answer
    x = 115.88

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