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Finding the Fourth Proportional to 165.97, 229.05 and 126.56

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Solution

The fourth proportional to 165.97, 229.05 and 126.56 is: 174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.97 : 229.05 = 126.56 : x
  2. Step 2: Convert to fraction form
    165.97/229.05 = 126.56/x
  3. Step 3: Cross multiply
    165.97x = 229.05 × 126.56
  4. Step 4: Simplify right side
    165.97x = 28,987.42
  5. Step 5: Solve for x
    x = 28,987.42/165.97
  6. Step 6: Final answer
    x = 174.66

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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.