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Finding the Fourth Proportional to 165.92, 228.30 and 161.68

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Solution

The fourth proportional to 165.92, 228.30 and 161.68 is: 222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.92 : 228.30 = 161.68 : x
  2. Step 2: Convert to fraction form
    165.92/228.30 = 161.68/x
  3. Step 3: Cross multiply
    165.92x = 228.30 × 161.68
  4. Step 4: Simplify right side
    165.92x = 36,911.54
  5. Step 5: Solve for x
    x = 36,911.54/165.92
  6. Step 6: Final answer
    x = 222.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.