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Finding the Fourth Proportional to 344.36, 516.08 and 181.92

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Solution

The fourth proportional to 344.36, 516.08 and 181.92 is: 272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.36 : 516.08 = 181.92 : x
  2. Step 2: Convert to fraction form
    344.36/516.08 = 181.92/x
  3. Step 3: Cross multiply
    344.36x = 516.08 × 181.92
  4. Step 4: Simplify right side
    344.36x = 93,885.27
  5. Step 5: Solve for x
    x = 93,885.27/344.36
  6. Step 6: Final answer
    x = 272.64

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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.