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Finding the Fourth Proportional to 164.14, 226.27 and 117.37

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Solution

The fourth proportional to 164.14, 226.27 and 117.37 is: 161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.14 : 226.27 = 117.37 : x
  2. Step 2: Convert to fraction form
    164.14/226.27 = 117.37/x
  3. Step 3: Cross multiply
    164.14x = 226.27 × 117.37
  4. Step 4: Simplify right side
    164.14x = 26,557.31
  5. Step 5: Solve for x
    x = 26,557.31/164.14
  6. Step 6: Final answer
    x = 161.80

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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.