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Finding the Fourth Proportional to 164.38, 226.74 and 129.35

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Solution

The fourth proportional to 164.38, 226.74 and 129.35 is: 178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.38 : 226.74 = 129.35 : x
  2. Step 2: Convert to fraction form
    164.38/226.74 = 129.35/x
  3. Step 3: Cross multiply
    164.38x = 226.74 × 129.35
  4. Step 4: Simplify right side
    164.38x = 29,329.14
  5. Step 5: Solve for x
    x = 29,329.14/164.38
  6. Step 6: Final answer
    x = 178.42

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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.