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Finding the Fourth Proportional to 164.74, 227.17 and 123.23

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Solution

The fourth proportional to 164.74, 227.17 and 123.23 is: 169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.74 : 227.17 = 123.23 : x
  2. Step 2: Convert to fraction form
    164.74/227.17 = 123.23/x
  3. Step 3: Cross multiply
    164.74x = 227.17 × 123.23
  4. Step 4: Simplify right side
    164.74x = 27,993.28
  5. Step 5: Solve for x
    x = 27,993.28/164.74
  6. Step 6: Final answer
    x = 169.92

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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.