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Finding the Fourth Proportional to 165.63, 226.91 and 159.48

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Solution

The fourth proportional to 165.63, 226.91 and 159.48 is: 218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.63 : 226.91 = 159.48 : x
  2. Step 2: Convert to fraction form
    165.63/226.91 = 159.48/x
  3. Step 3: Cross multiply
    165.63x = 226.91 × 159.48
  4. Step 4: Simplify right side
    165.63x = 36,187.61
  5. Step 5: Solve for x
    x = 36,187.61/165.63
  6. Step 6: Final answer
    x = 218.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.