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Finding the Fourth Proportional to 165.80, 248.67 and 110.90

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Solution

The fourth proportional to 165.80, 248.67 and 110.90 is: 166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.80 : 248.67 = 110.90 : x
  2. Step 2: Convert to fraction form
    165.80/248.67 = 110.90/x
  3. Step 3: Cross multiply
    165.80x = 248.67 × 110.90
  4. Step 4: Simplify right side
    165.80x = 27,577.50
  5. Step 5: Solve for x
    x = 27,577.50/165.80
  6. Step 6: Final answer
    x = 166.33

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Why These Related Problems?

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