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Finding the Fourth Proportional to 494.87, 742.19 and 186.56

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Solution

The fourth proportional to 494.87, 742.19 and 186.56 is: 279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.87 : 742.19 = 186.56 : x
  2. Step 2: Convert to fraction form
    494.87/742.19 = 186.56/x
  3. Step 3: Cross multiply
    494.87x = 742.19 × 186.56
  4. Step 4: Simplify right side
    494.87x = 138,463.89
  5. Step 5: Solve for x
    x = 138,463.89/494.87
  6. Step 6: Final answer
    x = 279.80

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