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Finding the Fourth Proportional to 165.13, 227.69 and 112.64

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Solution

The fourth proportional to 165.13, 227.69 and 112.64 is: 155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.13 : 227.69 = 112.64 : x
  2. Step 2: Convert to fraction form
    165.13/227.69 = 112.64/x
  3. Step 3: Cross multiply
    165.13x = 227.69 × 112.64
  4. Step 4: Simplify right side
    165.13x = 25,645.86
  5. Step 5: Solve for x
    x = 25,645.86/165.13
  6. Step 6: Final answer
    x = 155.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.