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Finding the Fourth Proportional to 273.69, 410.67 and 129.42

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Solution

The fourth proportional to 273.69, 410.67 and 129.42 is: 194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.69 : 410.67 = 129.42 : x
  2. Step 2: Convert to fraction form
    273.69/410.67 = 129.42/x
  3. Step 3: Cross multiply
    273.69x = 410.67 × 129.42
  4. Step 4: Simplify right side
    273.69x = 53,148.91
  5. Step 5: Solve for x
    x = 53,148.91/273.69
  6. Step 6: Final answer
    x = 194.19

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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.