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Finding the Fourth Proportional to 232.26, 320.31 and 153.78

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Solution

The fourth proportional to 232.26, 320.31 and 153.78 is: 212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.26 : 320.31 = 153.78 : x
  2. Step 2: Convert to fraction form
    232.26/320.31 = 153.78/x
  3. Step 3: Cross multiply
    232.26x = 320.31 × 153.78
  4. Step 4: Simplify right side
    232.26x = 49,257.27
  5. Step 5: Solve for x
    x = 49,257.27/232.26
  6. Step 6: Final answer
    x = 212.08

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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.