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Finding the Fourth Proportional to 232.44, 320.64 and 215.96

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Solution

The fourth proportional to 232.44, 320.64 and 215.96 is: 297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.44 : 320.64 = 215.96 : x
  2. Step 2: Convert to fraction form
    232.44/320.64 = 215.96/x
  3. Step 3: Cross multiply
    232.44x = 320.64 × 215.96
  4. Step 4: Simplify right side
    232.44x = 69,245.41
  5. Step 5: Solve for x
    x = 69,245.41/232.44
  6. Step 6: Final answer
    x = 297.91

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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.