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Finding the Fourth Proportional to 258.46, 388.42 and 136.82

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Solution

The fourth proportional to 258.46, 388.42 and 136.82 is: 205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.46 : 388.42 = 136.82 : x
  2. Step 2: Convert to fraction form
    258.46/388.42 = 136.82/x
  3. Step 3: Cross multiply
    258.46x = 388.42 × 136.82
  4. Step 4: Simplify right side
    258.46x = 53,143.62
  5. Step 5: Solve for x
    x = 53,143.62/258.46
  6. Step 6: Final answer
    x = 205.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.