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Finding the Fourth Proportional to 344.26, 516.31 and 161.74

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Solution

The fourth proportional to 344.26, 516.31 and 161.74 is: 242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.26 : 516.31 = 161.74 : x
  2. Step 2: Convert to fraction form
    344.26/516.31 = 161.74/x
  3. Step 3: Cross multiply
    344.26x = 516.31 × 161.74
  4. Step 4: Simplify right side
    344.26x = 83,507.98
  5. Step 5: Solve for x
    x = 83,507.98/344.26
  6. Step 6: Final answer
    x = 242.57

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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.