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Finding the Fourth Proportional to 165.58, 227.20 and 163.96

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Solution

The fourth proportional to 165.58, 227.20 and 163.96 is: 224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.58 : 227.20 = 163.96 : x
  2. Step 2: Convert to fraction form
    165.58/227.20 = 163.96/x
  3. Step 3: Cross multiply
    165.58x = 227.20 × 163.96
  4. Step 4: Simplify right side
    165.58x = 37,251.71
  5. Step 5: Solve for x
    x = 37,251.71/165.58
  6. Step 6: Final answer
    x = 224.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.