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Finding the Fourth Proportional to 259.27, 388.56 and 137.44

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Solution

The fourth proportional to 259.27, 388.56 and 137.44 is: 205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.27 : 388.56 = 137.44 : x
  2. Step 2: Convert to fraction form
    259.27/388.56 = 137.44/x
  3. Step 3: Cross multiply
    259.27x = 388.56 × 137.44
  4. Step 4: Simplify right side
    259.27x = 53,403.69
  5. Step 5: Solve for x
    x = 53,403.69/259.27
  6. Step 6: Final answer
    x = 205.98

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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.