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Finding the Fourth Proportional to 164.39, 226.71 and 109.19

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Solution

The fourth proportional to 164.39, 226.71 and 109.19 is: 150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.39 : 226.71 = 109.19 : x
  2. Step 2: Convert to fraction form
    164.39/226.71 = 109.19/x
  3. Step 3: Cross multiply
    164.39x = 226.71 × 109.19
  4. Step 4: Simplify right side
    164.39x = 24,754.46
  5. Step 5: Solve for x
    x = 24,754.46/164.39
  6. Step 6: Final answer
    x = 150.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.