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Finding the Fourth Proportional to 249.01, 343.64 and 161.83

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Solution

The fourth proportional to 249.01, 343.64 and 161.83 is: 223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.01 : 343.64 = 161.83 : x
  2. Step 2: Convert to fraction form
    249.01/343.64 = 161.83/x
  3. Step 3: Cross multiply
    249.01x = 343.64 × 161.83
  4. Step 4: Simplify right side
    249.01x = 55,611.26
  5. Step 5: Solve for x
    x = 55,611.26/249.01
  6. Step 6: Final answer
    x = 223.33

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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.