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Finding the Fourth Proportional to 312.08, 468.34 and 138.76

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Solution

The fourth proportional to 312.08, 468.34 and 138.76 is: 208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.08 : 468.34 = 138.76 : x
  2. Step 2: Convert to fraction form
    312.08/468.34 = 138.76/x
  3. Step 3: Cross multiply
    312.08x = 468.34 × 138.76
  4. Step 4: Simplify right side
    312.08x = 64,986.86
  5. Step 5: Solve for x
    x = 64,986.86/312.08
  6. Step 6: Final answer
    x = 208.24

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