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Finding the Fourth Proportional to 164.76, 227.76 and 157.96

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Solution

The fourth proportional to 164.76, 227.76 and 157.96 is: 218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.76 : 227.76 = 157.96 : x
  2. Step 2: Convert to fraction form
    164.76/227.76 = 157.96/x
  3. Step 3: Cross multiply
    164.76x = 227.76 × 157.96
  4. Step 4: Simplify right side
    164.76x = 35,976.97
  5. Step 5: Solve for x
    x = 35,976.97/164.76
  6. Step 6: Final answer
    x = 218.36

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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.