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Finding the Fourth Proportional to 273.83, 410.36 and 196.34

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Solution

The fourth proportional to 273.83, 410.36 and 196.34 is: 294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.83 : 410.36 = 196.34 : x
  2. Step 2: Convert to fraction form
    273.83/410.36 = 196.34/x
  3. Step 3: Cross multiply
    273.83x = 410.36 × 196.34
  4. Step 4: Simplify right side
    273.83x = 80,567.05
  5. Step 5: Solve for x
    x = 80,567.05/273.83
  6. Step 6: Final answer
    x = 294.23

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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.