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Finding the Fourth Proportional to 273.29, 409.99 and 97.56

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Solution

The fourth proportional to 273.29, 409.99 and 97.56 is: 146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.29 : 409.99 = 97.56 : x
  2. Step 2: Convert to fraction form
    273.29/409.99 = 97.56/x
  3. Step 3: Cross multiply
    273.29x = 409.99 × 97.56
  4. Step 4: Simplify right side
    273.29x = 39,998.38
  5. Step 5: Solve for x
    x = 39,998.38/273.29
  6. Step 6: Final answer
    x = 146.36

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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.