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Finding the Fourth Proportional to 344.13, 516.12 and 205.35

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Solution

The fourth proportional to 344.13, 516.12 and 205.35 is: 307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.13 : 516.12 = 205.35 : x
  2. Step 2: Convert to fraction form
    344.13/516.12 = 205.35/x
  3. Step 3: Cross multiply
    344.13x = 516.12 × 205.35
  4. Step 4: Simplify right side
    344.13x = 105,982.54
  5. Step 5: Solve for x
    x = 105,982.54/344.13
  6. Step 6: Final answer
    x = 307.97

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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.