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Finding the Fourth Proportional to 165.96, 229.02 and 144.12

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Solution

The fourth proportional to 165.96, 229.02 and 144.12 is: 198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.96 : 229.02 = 144.12 : x
  2. Step 2: Convert to fraction form
    165.96/229.02 = 144.12/x
  3. Step 3: Cross multiply
    165.96x = 229.02 × 144.12
  4. Step 4: Simplify right side
    165.96x = 33,006.36
  5. Step 5: Solve for x
    x = 33,006.36/165.96
  6. Step 6: Final answer
    x = 198.88

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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.