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Finding the Fourth Proportional to 122.22, 184.73 and 122.22

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Solution

The fourth proportional to 122.22, 184.73 and 122.22 is: 184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.22 : 184.73 = 122.22 : x
  2. Step 2: Convert to fraction form
    122.22/184.73 = 122.22/x
  3. Step 3: Cross multiply
    122.22x = 184.73 × 122.22
  4. Step 4: Simplify right side
    122.22x = 22,577.09
  5. Step 5: Solve for x
    x = 22,577.09/122.22
  6. Step 6: Final answer
    x = 184.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.