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Finding the Fourth Proportional to 284.63, 392.87 and 185.30

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Solution

The fourth proportional to 284.63, 392.87 and 185.30 is: 255.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.63 : 392.87 = 185.30 : x
  2. Step 2: Convert to fraction form
    284.63/392.87 = 185.30/x
  3. Step 3: Cross multiply
    284.63x = 392.87 × 185.30
  4. Step 4: Simplify right side
    284.63x = 72,797.09
  5. Step 5: Solve for x
    x = 72,797.09/284.63
  6. Step 6: Final answer
    x = 255.76

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