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Finding the Fourth Proportional to 164.73, 227.34 and 123.29

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Solution

The fourth proportional to 164.73, 227.34 and 123.29 is: 170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.73 : 227.34 = 123.29 : x
  2. Step 2: Convert to fraction form
    164.73/227.34 = 123.29/x
  3. Step 3: Cross multiply
    164.73x = 227.34 × 123.29
  4. Step 4: Simplify right side
    164.73x = 28,028.46
  5. Step 5: Solve for x
    x = 28,028.46/164.73
  6. Step 6: Final answer
    x = 170.14

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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.