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Finding the Fourth Proportional to 164.82, 227.40 and 112.37

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Solution

The fourth proportional to 164.82, 227.40 and 112.37 is: 155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.82 : 227.40 = 112.37 : x
  2. Step 2: Convert to fraction form
    164.82/227.40 = 112.37/x
  3. Step 3: Cross multiply
    164.82x = 227.40 × 112.37
  4. Step 4: Simplify right side
    164.82x = 25,551.80
  5. Step 5: Solve for x
    x = 25,551.80/164.82
  6. Step 6: Final answer
    x = 155.03

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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.