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Finding the Fourth Proportional to 311.74, 466.74 and 165.16

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Solution

The fourth proportional to 311.74, 466.74 and 165.16 is: 247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.74 : 466.74 = 165.16 : x
  2. Step 2: Convert to fraction form
    311.74/466.74 = 165.16/x
  3. Step 3: Cross multiply
    311.74x = 466.74 × 165.16
  4. Step 4: Simplify right side
    311.74x = 77,086.61
  5. Step 5: Solve for x
    x = 77,086.61/311.74
  6. Step 6: Final answer
    x = 247.28

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