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Finding the Fourth Proportional to 165.92, 228.49 and 165.38

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Solution

The fourth proportional to 165.92, 228.49 and 165.38 is: 227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.92 : 228.49 = 165.38 : x
  2. Step 2: Convert to fraction form
    165.92/228.49 = 165.38/x
  3. Step 3: Cross multiply
    165.92x = 228.49 × 165.38
  4. Step 4: Simplify right side
    165.92x = 37,786.12
  5. Step 5: Solve for x
    x = 37,786.12/165.92
  6. Step 6: Final answer
    x = 227.74

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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.