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Finding the Fourth Proportional to 344.43, 516.23 and 138.72

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Solution

The fourth proportional to 344.43, 516.23 and 138.72 is: 207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.43 : 516.23 = 138.72 : x
  2. Step 2: Convert to fraction form
    344.43/516.23 = 138.72/x
  3. Step 3: Cross multiply
    344.43x = 516.23 × 138.72
  4. Step 4: Simplify right side
    344.43x = 71,612.03
  5. Step 5: Solve for x
    x = 71,612.03/344.43
  6. Step 6: Final answer
    x = 207.92

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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.