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Finding the Fourth Proportional to 260.33, 388.73 and 226.17

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Solution

The fourth proportional to 260.33, 388.73 and 226.17 is: 337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.33 : 388.73 = 226.17 : x
  2. Step 2: Convert to fraction form
    260.33/388.73 = 226.17/x
  3. Step 3: Cross multiply
    260.33x = 388.73 × 226.17
  4. Step 4: Simplify right side
    260.33x = 87,919.63
  5. Step 5: Solve for x
    x = 87,919.63/260.33
  6. Step 6: Final answer
    x = 337.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.