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Finding the Fourth Proportional to 232.33, 320.87 and 180.50

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Solution

The fourth proportional to 232.33, 320.87 and 180.50 is: 249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.33 : 320.87 = 180.50 : x
  2. Step 2: Convert to fraction form
    232.33/320.87 = 180.50/x
  3. Step 3: Cross multiply
    232.33x = 320.87 × 180.50
  4. Step 4: Simplify right side
    232.33x = 57,914.53
  5. Step 5: Solve for x
    x = 57,914.53/232.33
  6. Step 6: Final answer
    x = 249.28

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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.