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Finding the Fourth Proportional to 344.09, 516.29 and 181.79

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Solution

The fourth proportional to 344.09, 516.29 and 181.79 is: 272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.09 : 516.29 = 181.79 : x
  2. Step 2: Convert to fraction form
    344.09/516.29 = 181.79/x
  3. Step 3: Cross multiply
    344.09x = 516.29 × 181.79
  4. Step 4: Simplify right side
    344.09x = 93,852.87
  5. Step 5: Solve for x
    x = 93,852.87/344.09
  6. Step 6: Final answer
    x = 272.75

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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.