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Finding the Fourth Proportional to 225.71, 337.84 and 121.44

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Solution

The fourth proportional to 225.71, 337.84 and 121.44 is: 181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.71 : 337.84 = 121.44 : x
  2. Step 2: Convert to fraction form
    225.71/337.84 = 121.44/x
  3. Step 3: Cross multiply
    225.71x = 337.84 × 121.44
  4. Step 4: Simplify right side
    225.71x = 41,028.27
  5. Step 5: Solve for x
    x = 41,028.27/225.71
  6. Step 6: Final answer
    x = 181.78

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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.