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Finding the Fourth Proportional to 164.73, 227.25 and 135.22

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Solution

The fourth proportional to 164.73, 227.25 and 135.22 is: 186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.73 : 227.25 = 135.22 : x
  2. Step 2: Convert to fraction form
    164.73/227.25 = 135.22/x
  3. Step 3: Cross multiply
    164.73x = 227.25 × 135.22
  4. Step 4: Simplify right side
    164.73x = 30,728.75
  5. Step 5: Solve for x
    x = 30,728.75/164.73
  6. Step 6: Final answer
    x = 186.54

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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.