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Finding the Fourth Proportional to 516.65, 775.10 and 191.84

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Solution

The fourth proportional to 516.65, 775.10 and 191.84 is: 287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.65 : 775.10 = 191.84 : x
  2. Step 2: Convert to fraction form
    516.65/775.10 = 191.84/x
  3. Step 3: Cross multiply
    516.65x = 775.10 × 191.84
  4. Step 4: Simplify right side
    516.65x = 148,691.79
  5. Step 5: Solve for x
    x = 148,691.79/516.65
  6. Step 6: Final answer
    x = 287.80

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