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Finding the Fourth Proportional to 258.59, 388.17 and 136.82

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Solution

The fourth proportional to 258.59, 388.17 and 136.82 is: 205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.59 : 388.17 = 136.82 : x
  2. Step 2: Convert to fraction form
    258.59/388.17 = 136.82/x
  3. Step 3: Cross multiply
    258.59x = 388.17 × 136.82
  4. Step 4: Simplify right side
    258.59x = 53,109.42
  5. Step 5: Solve for x
    x = 53,109.42/258.59
  6. Step 6: Final answer
    x = 205.38

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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.