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Finding the Fourth Proportional to 165.29, 248.23 and 104.44

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Solution

The fourth proportional to 165.29, 248.23 and 104.44 is: 156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.29 : 248.23 = 104.44 : x
  2. Step 2: Convert to fraction form
    165.29/248.23 = 104.44/x
  3. Step 3: Cross multiply
    165.29x = 248.23 × 104.44
  4. Step 4: Simplify right side
    165.29x = 25,924.29
  5. Step 5: Solve for x
    x = 25,924.29/165.29
  6. Step 6: Final answer
    x = 156.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.