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Finding the Fourth Proportional to 165.56, 247.90 and 122.12

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Solution

The fourth proportional to 165.56, 247.90 and 122.12 is: 182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.56 : 247.90 = 122.12 : x
  2. Step 2: Convert to fraction form
    165.56/247.90 = 122.12/x
  3. Step 3: Cross multiply
    165.56x = 247.90 × 122.12
  4. Step 4: Simplify right side
    165.56x = 30,273.55
  5. Step 5: Solve for x
    x = 30,273.55/165.56
  6. Step 6: Final answer
    x = 182.86

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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.