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Finding the Fourth Proportional to 513.41, 769.86 and 188.55

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Solution

The fourth proportional to 513.41, 769.86 and 188.55 is: 282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.41 : 769.86 = 188.55 : x
  2. Step 2: Convert to fraction form
    513.41/769.86 = 188.55/x
  3. Step 3: Cross multiply
    513.41x = 769.86 × 188.55
  4. Step 4: Simplify right side
    513.41x = 145,157.10
  5. Step 5: Solve for x
    x = 145,157.10/513.41
  6. Step 6: Final answer
    x = 282.73

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