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Finding the Fourth Proportional to 361.86, 542.72 and 164.22

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Solution

The fourth proportional to 361.86, 542.72 and 164.22 is: 246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.86 : 542.72 = 164.22 : x
  2. Step 2: Convert to fraction form
    361.86/542.72 = 164.22/x
  3. Step 3: Cross multiply
    361.86x = 542.72 × 164.22
  4. Step 4: Simplify right side
    361.86x = 89,124.66
  5. Step 5: Solve for x
    x = 89,124.66/361.86
  6. Step 6: Final answer
    x = 246.30

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