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Finding the Fourth Proportional to 196.21, 293.09 and 167.18

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Solution

The fourth proportional to 196.21, 293.09 and 167.18 is: 249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.21 : 293.09 = 167.18 : x
  2. Step 2: Convert to fraction form
    196.21/293.09 = 167.18/x
  3. Step 3: Cross multiply
    196.21x = 293.09 × 167.18
  4. Step 4: Simplify right side
    196.21x = 48,998.79
  5. Step 5: Solve for x
    x = 48,998.79/196.21
  6. Step 6: Final answer
    x = 249.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.