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Finding the Fourth Proportional to 283.64, 391.10 and 204.93

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Solution

The fourth proportional to 283.64, 391.10 and 204.93 is: 282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.64 : 391.10 = 204.93 : x
  2. Step 2: Convert to fraction form
    283.64/391.10 = 204.93/x
  3. Step 3: Cross multiply
    283.64x = 391.10 × 204.93
  4. Step 4: Simplify right side
    283.64x = 80,147.10
  5. Step 5: Solve for x
    x = 80,147.10/283.64
  6. Step 6: Final answer
    x = 282.57

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