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Finding the Fourth Proportional to 273.24, 408.82 and 232.12

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Solution

The fourth proportional to 273.24, 408.82 and 232.12 is: 347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.24 : 408.82 = 232.12 : x
  2. Step 2: Convert to fraction form
    273.24/408.82 = 232.12/x
  3. Step 3: Cross multiply
    273.24x = 408.82 × 232.12
  4. Step 4: Simplify right side
    273.24x = 94,895.30
  5. Step 5: Solve for x
    x = 94,895.30/273.24
  6. Step 6: Final answer
    x = 347.30

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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.