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Finding the Fourth Proportional to 342.14, 512.84 and 185.99

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Solution

The fourth proportional to 342.14, 512.84 and 185.99 is: 278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.14 : 512.84 = 185.99 : x
  2. Step 2: Convert to fraction form
    342.14/512.84 = 185.99/x
  3. Step 3: Cross multiply
    342.14x = 512.84 × 185.99
  4. Step 4: Simplify right side
    342.14x = 95,381.01
  5. Step 5: Solve for x
    x = 95,381.01/342.14
  6. Step 6: Final answer
    x = 278.78

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