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Finding the Fourth Proportional to 232.07, 319.75 and 205.61

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Solution

The fourth proportional to 232.07, 319.75 and 205.61 is: 283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.07 : 319.75 = 205.61 : x
  2. Step 2: Convert to fraction form
    232.07/319.75 = 205.61/x
  3. Step 3: Cross multiply
    232.07x = 319.75 × 205.61
  4. Step 4: Simplify right side
    232.07x = 65,741.68
  5. Step 5: Solve for x
    x = 65,741.68/232.07
  6. Step 6: Final answer
    x = 283.29

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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.