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Finding the Fourth Proportional to 184.97, 254.69 and 160.37

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Solution

The fourth proportional to 184.97, 254.69 and 160.37 is: 220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.97 : 254.69 = 160.37 : x
  2. Step 2: Convert to fraction form
    184.97/254.69 = 160.37/x
  3. Step 3: Cross multiply
    184.97x = 254.69 × 160.37
  4. Step 4: Simplify right side
    184.97x = 40,843.83
  5. Step 5: Solve for x
    x = 40,843.83/184.97
  6. Step 6: Final answer
    x = 220.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.