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Finding the Fourth Proportional to 205.34, 309.22 and 178.61

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Solution

The fourth proportional to 205.34, 309.22 and 178.61 is: 268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.34 : 309.22 = 178.61 : x
  2. Step 2: Convert to fraction form
    205.34/309.22 = 178.61/x
  3. Step 3: Cross multiply
    205.34x = 309.22 × 178.61
  4. Step 4: Simplify right side
    205.34x = 55,227.79
  5. Step 5: Solve for x
    x = 55,227.79/205.34
  6. Step 6: Final answer
    x = 268.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.