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Finding the Fourth Proportional to 165.38, 247.89 and 111.02

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Solution

The fourth proportional to 165.38, 247.89 and 111.02 is: 166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.38 : 247.89 = 111.02 : x
  2. Step 2: Convert to fraction form
    165.38/247.89 = 111.02/x
  3. Step 3: Cross multiply
    165.38x = 247.89 × 111.02
  4. Step 4: Simplify right side
    165.38x = 27,520.75
  5. Step 5: Solve for x
    x = 27,520.75/165.38
  6. Step 6: Final answer
    x = 166.41

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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.