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Finding the Fourth Proportional to 165.14, 227.86 and 128.57

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Solution

The fourth proportional to 165.14, 227.86 and 128.57 is: 177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.14 : 227.86 = 128.57 : x
  2. Step 2: Convert to fraction form
    165.14/227.86 = 128.57/x
  3. Step 3: Cross multiply
    165.14x = 227.86 × 128.57
  4. Step 4: Simplify right side
    165.14x = 29,295.96
  5. Step 5: Solve for x
    x = 29,295.96/165.14
  6. Step 6: Final answer
    x = 177.41

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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.