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Finding the Fourth Proportional to 164.03, 226.84 and 141.92

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Solution

The fourth proportional to 164.03, 226.84 and 141.92 is: 196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.03 : 226.84 = 141.92 : x
  2. Step 2: Convert to fraction form
    164.03/226.84 = 141.92/x
  3. Step 3: Cross multiply
    164.03x = 226.84 × 141.92
  4. Step 4: Simplify right side
    164.03x = 32,193.13
  5. Step 5: Solve for x
    x = 32,193.13/164.03
  6. Step 6: Final answer
    x = 196.26

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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.