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Finding the Fourth Proportional to 296.21, 408.42 and 243.56

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Solution

The fourth proportional to 296.21, 408.42 and 243.56 is: 335.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.21 : 408.42 = 243.56 : x
  2. Step 2: Convert to fraction form
    296.21/408.42 = 243.56/x
  3. Step 3: Cross multiply
    296.21x = 408.42 × 243.56
  4. Step 4: Simplify right side
    296.21x = 99,472.73
  5. Step 5: Solve for x
    x = 99,472.73/296.21
  6. Step 6: Final answer
    x = 335.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.