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Finding the Fourth Proportional to 165.33, 227.97 and 112.86

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Solution

The fourth proportional to 165.33, 227.97 and 112.86 is: 155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.33 : 227.97 = 112.86 : x
  2. Step 2: Convert to fraction form
    165.33/227.97 = 112.86/x
  3. Step 3: Cross multiply
    165.33x = 227.97 × 112.86
  4. Step 4: Simplify right side
    165.33x = 25,728.69
  5. Step 5: Solve for x
    x = 25,728.69/165.33
  6. Step 6: Final answer
    x = 155.62

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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.