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Finding the Fourth Proportional to 516.98, 775.37 and 187.92

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Solution

The fourth proportional to 516.98, 775.37 and 187.92 is: 281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.98 : 775.37 = 187.92 : x
  2. Step 2: Convert to fraction form
    516.98/775.37 = 187.92/x
  3. Step 3: Cross multiply
    516.98x = 775.37 × 187.92
  4. Step 4: Simplify right side
    516.98x = 145,708.00
  5. Step 5: Solve for x
    x = 145,708.00/516.98
  6. Step 6: Final answer
    x = 281.84

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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.