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Finding the Fourth Proportional to 225.67, 338.21 and 109.88

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Solution

The fourth proportional to 225.67, 338.21 and 109.88 is: 164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.67 : 338.21 = 109.88 : x
  2. Step 2: Convert to fraction form
    225.67/338.21 = 109.88/x
  3. Step 3: Cross multiply
    225.67x = 338.21 × 109.88
  4. Step 4: Simplify right side
    225.67x = 37,162.51
  5. Step 5: Solve for x
    x = 37,162.51/225.67
  6. Step 6: Final answer
    x = 164.68

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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.