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Finding the Fourth Proportional to 232.89, 320.91 and 180.44

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Solution

The fourth proportional to 232.89, 320.91 and 180.44 is: 248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.89 : 320.91 = 180.44 : x
  2. Step 2: Convert to fraction form
    232.89/320.91 = 180.44/x
  3. Step 3: Cross multiply
    232.89x = 320.91 × 180.44
  4. Step 4: Simplify right side
    232.89x = 57,903.40
  5. Step 5: Solve for x
    x = 57,903.40/232.89
  6. Step 6: Final answer
    x = 248.63

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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.