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Finding the Fourth Proportional to 344.69, 516.61 and 159.37

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Solution

The fourth proportional to 344.69, 516.61 and 159.37 is: 238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.69 : 516.61 = 159.37 : x
  2. Step 2: Convert to fraction form
    344.69/516.61 = 159.37/x
  3. Step 3: Cross multiply
    344.69x = 516.61 × 159.37
  4. Step 4: Simplify right side
    344.69x = 82,331.04
  5. Step 5: Solve for x
    x = 82,331.04/344.69
  6. Step 6: Final answer
    x = 238.86

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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.