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Finding the Fourth Proportional to 273.80, 410.26 and 136.64

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Solution

The fourth proportional to 273.80, 410.26 and 136.64 is: 204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.80 : 410.26 = 136.64 : x
  2. Step 2: Convert to fraction form
    273.80/410.26 = 136.64/x
  3. Step 3: Cross multiply
    273.80x = 410.26 × 136.64
  4. Step 4: Simplify right side
    273.80x = 56,057.93
  5. Step 5: Solve for x
    x = 56,057.93/273.80
  6. Step 6: Final answer
    x = 204.74

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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.