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Finding the Fourth Proportional to 164.09, 226.37 and 143.36

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Solution

The fourth proportional to 164.09, 226.37 and 143.36 is: 197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.09 : 226.37 = 143.36 : x
  2. Step 2: Convert to fraction form
    164.09/226.37 = 143.36/x
  3. Step 3: Cross multiply
    164.09x = 226.37 × 143.36
  4. Step 4: Simplify right side
    164.09x = 32,452.40
  5. Step 5: Solve for x
    x = 32,452.40/164.09
  6. Step 6: Final answer
    x = 197.77

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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.