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Finding the Fourth Proportional to 165.38, 248.09 and 110.89

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Solution

The fourth proportional to 165.38, 248.09 and 110.89 is: 166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.38 : 248.09 = 110.89 : x
  2. Step 2: Convert to fraction form
    165.38/248.09 = 110.89/x
  3. Step 3: Cross multiply
    165.38x = 248.09 × 110.89
  4. Step 4: Simplify right side
    165.38x = 27,509.53
  5. Step 5: Solve for x
    x = 27,509.53/165.38
  6. Step 6: Final answer
    x = 166.34

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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.