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Finding the Fourth Proportional to 165.05, 227.79 and 157.76

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Solution

The fourth proportional to 165.05, 227.79 and 157.76 is: 217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.05 : 227.79 = 157.76 : x
  2. Step 2: Convert to fraction form
    165.05/227.79 = 157.76/x
  3. Step 3: Cross multiply
    165.05x = 227.79 × 157.76
  4. Step 4: Simplify right side
    165.05x = 35,935.01
  5. Step 5: Solve for x
    x = 35,935.01/165.05
  6. Step 6: Final answer
    x = 217.73

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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.