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Finding the Fourth Proportional to 335.78, 503.82 and 164.78

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Solution

The fourth proportional to 335.78, 503.82 and 164.78 is: 247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.78 : 503.82 = 164.78 : x
  2. Step 2: Convert to fraction form
    335.78/503.82 = 164.78/x
  3. Step 3: Cross multiply
    335.78x = 503.82 × 164.78
  4. Step 4: Simplify right side
    335.78x = 83,019.46
  5. Step 5: Solve for x
    x = 83,019.46/335.78
  6. Step 6: Final answer
    x = 247.24

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