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Finding the Fourth Proportional to 225.31, 338.04 and 109.80

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Solution

The fourth proportional to 225.31, 338.04 and 109.80 is: 164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.31 : 338.04 = 109.80 : x
  2. Step 2: Convert to fraction form
    225.31/338.04 = 109.80/x
  3. Step 3: Cross multiply
    225.31x = 338.04 × 109.80
  4. Step 4: Simplify right side
    225.31x = 37,116.79
  5. Step 5: Solve for x
    x = 37,116.79/225.31
  6. Step 6: Final answer
    x = 164.74

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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.