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Finding the Fourth Proportional to 196.78, 295.24 and 105.65

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Solution

The fourth proportional to 196.78, 295.24 and 105.65 is: 158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.78 : 295.24 = 105.65 : x
  2. Step 2: Convert to fraction form
    196.78/295.24 = 105.65/x
  3. Step 3: Cross multiply
    196.78x = 295.24 × 105.65
  4. Step 4: Simplify right side
    196.78x = 31,192.11
  5. Step 5: Solve for x
    x = 31,192.11/196.78
  6. Step 6: Final answer
    x = 158.51

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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.