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Finding the Fourth Proportional to 196.18, 293.79 and 167.12

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Solution

The fourth proportional to 196.18, 293.79 and 167.12 is: 250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.18 : 293.79 = 167.12 : x
  2. Step 2: Convert to fraction form
    196.18/293.79 = 167.12/x
  3. Step 3: Cross multiply
    196.18x = 293.79 × 167.12
  4. Step 4: Simplify right side
    196.18x = 49,098.44
  5. Step 5: Solve for x
    x = 49,098.44/196.18
  6. Step 6: Final answer
    x = 250.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.