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Finding the Fourth Proportional to 165.26, 226.93 and 159.19

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Solution

The fourth proportional to 165.26, 226.93 and 159.19 is: 218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.26 : 226.93 = 159.19 : x
  2. Step 2: Convert to fraction form
    165.26/226.93 = 159.19/x
  3. Step 3: Cross multiply
    165.26x = 226.93 × 159.19
  4. Step 4: Simplify right side
    165.26x = 36,124.99
  5. Step 5: Solve for x
    x = 36,124.99/165.26
  6. Step 6: Final answer
    x = 218.59

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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.