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Finding the Fourth Proportional to 516.55, 775.02 and 191.94

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Solution

The fourth proportional to 516.55, 775.02 and 191.94 is: 287.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.55 : 775.02 = 191.94 : x
  2. Step 2: Convert to fraction form
    516.55/775.02 = 191.94/x
  3. Step 3: Cross multiply
    516.55x = 775.02 × 191.94
  4. Step 4: Simplify right side
    516.55x = 148,757.34
  5. Step 5: Solve for x
    x = 148,757.34/516.55
  6. Step 6: Final answer
    x = 287.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.