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Finding the Fourth Proportional to 344.07, 516.09 and 138.57

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Solution

The fourth proportional to 344.07, 516.09 and 138.57 is: 207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.07 : 516.09 = 138.57 : x
  2. Step 2: Convert to fraction form
    344.07/516.09 = 138.57/x
  3. Step 3: Cross multiply
    344.07x = 516.09 × 138.57
  4. Step 4: Simplify right side
    344.07x = 71,514.59
  5. Step 5: Solve for x
    x = 71,514.59/344.07
  6. Step 6: Final answer
    x = 207.85

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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.