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Finding the Fourth Proportional to 312.90, 468.15 and 204.90

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Solution

The fourth proportional to 312.90, 468.15 and 204.90 is: 306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.90 : 468.15 = 204.90 : x
  2. Step 2: Convert to fraction form
    312.90/468.15 = 204.90/x
  3. Step 3: Cross multiply
    312.90x = 468.15 × 204.90
  4. Step 4: Simplify right side
    312.90x = 95,923.94
  5. Step 5: Solve for x
    x = 95,923.94/312.90
  6. Step 6: Final answer
    x = 306.56

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