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Finding the Fourth Proportional to 259.20, 388.96 and 137.76

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Solution

The fourth proportional to 259.20, 388.96 and 137.76 is: 206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.20 : 388.96 = 137.76 : x
  2. Step 2: Convert to fraction form
    259.20/388.96 = 137.76/x
  3. Step 3: Cross multiply
    259.20x = 388.96 × 137.76
  4. Step 4: Simplify right side
    259.20x = 53,583.13
  5. Step 5: Solve for x
    x = 53,583.13/259.20
  6. Step 6: Final answer
    x = 206.73

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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.