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Finding the Fourth Proportional to 165.16, 228.86 and 161.38

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Solution

The fourth proportional to 165.16, 228.86 and 161.38 is: 223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.16 : 228.86 = 161.38 : x
  2. Step 2: Convert to fraction form
    165.16/228.86 = 161.38/x
  3. Step 3: Cross multiply
    165.16x = 228.86 × 161.38
  4. Step 4: Simplify right side
    165.16x = 36,933.43
  5. Step 5: Solve for x
    x = 36,933.43/165.16
  6. Step 6: Final answer
    x = 223.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.