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Finding the Fourth Proportional to 225.42, 338.12 and 109.84

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Solution

The fourth proportional to 225.42, 338.12 and 109.84 is: 164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.42 : 338.12 = 109.84 : x
  2. Step 2: Convert to fraction form
    225.42/338.12 = 109.84/x
  3. Step 3: Cross multiply
    225.42x = 338.12 × 109.84
  4. Step 4: Simplify right side
    225.42x = 37,139.10
  5. Step 5: Solve for x
    x = 37,139.10/225.42
  6. Step 6: Final answer
    x = 164.76

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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.