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Finding the Fourth Proportional to 344.08, 516.24 and 138.71

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Solution

The fourth proportional to 344.08, 516.24 and 138.71 is: 208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.08 : 516.24 = 138.71 : x
  2. Step 2: Convert to fraction form
    344.08/516.24 = 138.71/x
  3. Step 3: Cross multiply
    344.08x = 516.24 × 138.71
  4. Step 4: Simplify right side
    344.08x = 71,608.94
  5. Step 5: Solve for x
    x = 71,608.94/344.08
  6. Step 6: Final answer
    x = 208.12

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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.