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Finding the Fourth Proportional to 258.96, 388.46 and 137.22

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Solution

The fourth proportional to 258.96, 388.46 and 137.22 is: 205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.96 : 388.46 = 137.22 : x
  2. Step 2: Convert to fraction form
    258.96/388.46 = 137.22/x
  3. Step 3: Cross multiply
    258.96x = 388.46 × 137.22
  4. Step 4: Simplify right side
    258.96x = 53,304.82
  5. Step 5: Solve for x
    x = 53,304.82/258.96
  6. Step 6: Final answer
    x = 205.84

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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.