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Finding the Fourth Proportional to 196.81, 295.34 and 105.57

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Solution

The fourth proportional to 196.81, 295.34 and 105.57 is: 158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.81 : 295.34 = 105.57 : x
  2. Step 2: Convert to fraction form
    196.81/295.34 = 105.57/x
  3. Step 3: Cross multiply
    196.81x = 295.34 × 105.57
  4. Step 4: Simplify right side
    196.81x = 31,179.04
  5. Step 5: Solve for x
    x = 31,179.04/196.81
  6. Step 6: Final answer
    x = 158.42

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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.