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Finding the Fourth Proportional to 194.93, 293.73 and 161.44

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Solution

The fourth proportional to 194.93, 293.73 and 161.44 is: 243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.93 : 293.73 = 161.44 : x
  2. Step 2: Convert to fraction form
    194.93/293.73 = 161.44/x
  3. Step 3: Cross multiply
    194.93x = 293.73 × 161.44
  4. Step 4: Simplify right side
    194.93x = 47,419.37
  5. Step 5: Solve for x
    x = 47,419.37/194.93
  6. Step 6: Final answer
    x = 243.27

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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.