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Finding the Fourth Proportional to 165.48, 227.94 and 126.60

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Solution

The fourth proportional to 165.48, 227.94 and 126.60 is: 174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.48 : 227.94 = 126.60 : x
  2. Step 2: Convert to fraction form
    165.48/227.94 = 126.60/x
  3. Step 3: Cross multiply
    165.48x = 227.94 × 126.60
  4. Step 4: Simplify right side
    165.48x = 28,857.20
  5. Step 5: Solve for x
    x = 28,857.20/165.48
  6. Step 6: Final answer
    x = 174.38

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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.