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Finding the Fourth Proportional to 232.68, 319.68 and 209.28

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Solution

The fourth proportional to 232.68, 319.68 and 209.28 is: 287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.68 : 319.68 = 209.28 : x
  2. Step 2: Convert to fraction form
    232.68/319.68 = 209.28/x
  3. Step 3: Cross multiply
    232.68x = 319.68 × 209.28
  4. Step 4: Simplify right side
    232.68x = 66,902.63
  5. Step 5: Solve for x
    x = 66,902.63/232.68
  6. Step 6: Final answer
    x = 287.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.