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Finding the Fourth Proportional to 232.56, 321.26 and 215.28

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Solution

The fourth proportional to 232.56, 321.26 and 215.28 is: 297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.56 : 321.26 = 215.28 : x
  2. Step 2: Convert to fraction form
    232.56/321.26 = 215.28/x
  3. Step 3: Cross multiply
    232.56x = 321.26 × 215.28
  4. Step 4: Simplify right side
    232.56x = 69,160.85
  5. Step 5: Solve for x
    x = 69,160.85/232.56
  6. Step 6: Final answer
    x = 297.39

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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.