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Finding the Fourth Proportional to 204.08, 305.76 and 139.76

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Solution

The fourth proportional to 204.08, 305.76 and 139.76 is: 209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.08 : 305.76 = 139.76 : x
  2. Step 2: Convert to fraction form
    204.08/305.76 = 139.76/x
  3. Step 3: Cross multiply
    204.08x = 305.76 × 139.76
  4. Step 4: Simplify right side
    204.08x = 42,733.02
  5. Step 5: Solve for x
    x = 42,733.02/204.08
  6. Step 6: Final answer
    x = 209.39

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