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Finding the Fourth Proportional to 164.19, 226.47 and 131.43

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Solution

The fourth proportional to 164.19, 226.47 and 131.43 is: 181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.19 : 226.47 = 131.43 : x
  2. Step 2: Convert to fraction form
    164.19/226.47 = 131.43/x
  3. Step 3: Cross multiply
    164.19x = 226.47 × 131.43
  4. Step 4: Simplify right side
    164.19x = 29,764.95
  5. Step 5: Solve for x
    x = 29,764.95/164.19
  6. Step 6: Final answer
    x = 181.28

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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.