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Finding the Fourth Proportional to 283.92, 391.98 and 185.84

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Solution

The fourth proportional to 283.92, 391.98 and 185.84 is: 256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.92 : 391.98 = 185.84 : x
  2. Step 2: Convert to fraction form
    283.92/391.98 = 185.84/x
  3. Step 3: Cross multiply
    283.92x = 391.98 × 185.84
  4. Step 4: Simplify right side
    283.92x = 72,845.56
  5. Step 5: Solve for x
    x = 72,845.56/283.92
  6. Step 6: Final answer
    x = 256.57

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