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Finding the Fourth Proportional to 273.85, 410.36 and 136.73

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Solution

The fourth proportional to 273.85, 410.36 and 136.73 is: 204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.85 : 410.36 = 136.73 : x
  2. Step 2: Convert to fraction form
    273.85/410.36 = 136.73/x
  3. Step 3: Cross multiply
    273.85x = 410.36 × 136.73
  4. Step 4: Simplify right side
    273.85x = 56,108.87
  5. Step 5: Solve for x
    x = 56,108.87/273.85
  6. Step 6: Final answer
    x = 204.89

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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.