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Finding the Fourth Proportional to 344.33, 516.59 and 161.83

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Solution

The fourth proportional to 344.33, 516.59 and 161.83 is: 242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.33 : 516.59 = 161.83 : x
  2. Step 2: Convert to fraction form
    344.33/516.59 = 161.83/x
  3. Step 3: Cross multiply
    344.33x = 516.59 × 161.83
  4. Step 4: Simplify right side
    344.33x = 83,599.76
  5. Step 5: Solve for x
    x = 83,599.76/344.33
  6. Step 6: Final answer
    x = 242.79

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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.