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Finding the Fourth Proportional to 165.85, 248.52 and 111.66

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Solution

The fourth proportional to 165.85, 248.52 and 111.66 is: 167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.85 : 248.52 = 111.66 : x
  2. Step 2: Convert to fraction form
    165.85/248.52 = 111.66/x
  3. Step 3: Cross multiply
    165.85x = 248.52 × 111.66
  4. Step 4: Simplify right side
    165.85x = 27,749.74
  5. Step 5: Solve for x
    x = 27,749.74/165.85
  6. Step 6: Final answer
    x = 167.32

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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.