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Finding the Fourth Proportional to 165.51, 226.80 and 164.43

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Solution

The fourth proportional to 165.51, 226.80 and 164.43 is: 225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.51 : 226.80 = 164.43 : x
  2. Step 2: Convert to fraction form
    165.51/226.80 = 164.43/x
  3. Step 3: Cross multiply
    165.51x = 226.80 × 164.43
  4. Step 4: Simplify right side
    165.51x = 37,292.72
  5. Step 5: Solve for x
    x = 37,292.72/165.51
  6. Step 6: Final answer
    x = 225.32

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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.