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Finding the Fourth Proportional to 344.15, 516.27 and 181.85

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Solution

The fourth proportional to 344.15, 516.27 and 181.85 is: 272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.15 : 516.27 = 181.85 : x
  2. Step 2: Convert to fraction form
    344.15/516.27 = 181.85/x
  3. Step 3: Cross multiply
    344.15x = 516.27 × 181.85
  4. Step 4: Simplify right side
    344.15x = 93,881.12
  5. Step 5: Solve for x
    x = 93,881.12/344.15
  6. Step 6: Final answer
    x = 272.80

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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.