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Finding the Fourth Proportional to 164.45, 227.18 and 131.66

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Solution

The fourth proportional to 164.45, 227.18 and 131.66 is: 181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.45 : 227.18 = 131.66 : x
  2. Step 2: Convert to fraction form
    164.45/227.18 = 131.66/x
  3. Step 3: Cross multiply
    164.45x = 227.18 × 131.66
  4. Step 4: Simplify right side
    164.45x = 29,910.52
  5. Step 5: Solve for x
    x = 29,910.52/164.45
  6. Step 6: Final answer
    x = 181.88

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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.