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Finding the Fourth Proportional to 165.85, 248.59 and 111.04

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Solution

The fourth proportional to 165.85, 248.59 and 111.04 is: 166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.85 : 248.59 = 111.04 : x
  2. Step 2: Convert to fraction form
    165.85/248.59 = 111.04/x
  3. Step 3: Cross multiply
    165.85x = 248.59 × 111.04
  4. Step 4: Simplify right side
    165.85x = 27,602.33
  5. Step 5: Solve for x
    x = 27,602.33/165.85
  6. Step 6: Final answer
    x = 166.43

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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.