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Finding the Fourth Proportional to 165.24, 228.11 and 109.26

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Solution

The fourth proportional to 165.24, 228.11 and 109.26 is: 150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.24 : 228.11 = 109.26 : x
  2. Step 2: Convert to fraction form
    165.24/228.11 = 109.26/x
  3. Step 3: Cross multiply
    165.24x = 228.11 × 109.26
  4. Step 4: Simplify right side
    165.24x = 24,922.69
  5. Step 5: Solve for x
    x = 24,922.69/165.24
  6. Step 6: Final answer
    x = 150.83

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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.