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Finding the Fourth Proportional to 165.32, 227.72 and 128.41

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Solution

The fourth proportional to 165.32, 227.72 and 128.41 is: 176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.32 : 227.72 = 128.41 : x
  2. Step 2: Convert to fraction form
    165.32/227.72 = 128.41/x
  3. Step 3: Cross multiply
    165.32x = 227.72 × 128.41
  4. Step 4: Simplify right side
    165.32x = 29,241.28
  5. Step 5: Solve for x
    x = 29,241.28/165.32
  6. Step 6: Final answer
    x = 176.88

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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.