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Finding the Fourth Proportional to 516.83, 774.95 and 187.65

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Solution

The fourth proportional to 516.83, 774.95 and 187.65 is: 281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.83 : 774.95 = 187.65 : x
  2. Step 2: Convert to fraction form
    516.83/774.95 = 187.65/x
  3. Step 3: Cross multiply
    516.83x = 774.95 × 187.65
  4. Step 4: Simplify right side
    516.83x = 145,418.43
  5. Step 5: Solve for x
    x = 145,418.43/516.83
  6. Step 6: Final answer
    x = 281.37

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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.