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Finding the Fourth Proportional to 225.92, 338.90 and 189.79

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Solution

The fourth proportional to 225.92, 338.90 and 189.79 is: 284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.92 : 338.90 = 189.79 : x
  2. Step 2: Convert to fraction form
    225.92/338.90 = 189.79/x
  3. Step 3: Cross multiply
    225.92x = 338.90 × 189.79
  4. Step 4: Simplify right side
    225.92x = 64,318.03
  5. Step 5: Solve for x
    x = 64,318.03/225.92
  6. Step 6: Final answer
    x = 284.69

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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.