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Finding the Fourth Proportional to 225.94, 338.92 and 164.78

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Solution

The fourth proportional to 225.94, 338.92 and 164.78 is: 247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.94 : 338.92 = 164.78 : x
  2. Step 2: Convert to fraction form
    225.94/338.92 = 164.78/x
  3. Step 3: Cross multiply
    225.94x = 338.92 × 164.78
  4. Step 4: Simplify right side
    225.94x = 55,847.24
  5. Step 5: Solve for x
    x = 55,847.24/225.94
  6. Step 6: Final answer
    x = 247.18

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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.