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Finding the Fourth Proportional to 310.78, 466.32 and 195.20

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Solution

The fourth proportional to 310.78, 466.32 and 195.20 is: 292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.78 : 466.32 = 195.20 : x
  2. Step 2: Convert to fraction form
    310.78/466.32 = 195.20/x
  3. Step 3: Cross multiply
    310.78x = 466.32 × 195.20
  4. Step 4: Simplify right side
    310.78x = 91,025.66
  5. Step 5: Solve for x
    x = 91,025.66/310.78
  6. Step 6: Final answer
    x = 292.89

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