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Finding the Fourth Proportional to 196.45, 294.32 and 105.12

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Solution

The fourth proportional to 196.45, 294.32 and 105.12 is: 157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.45 : 294.32 = 105.12 : x
  2. Step 2: Convert to fraction form
    196.45/294.32 = 105.12/x
  3. Step 3: Cross multiply
    196.45x = 294.32 × 105.12
  4. Step 4: Simplify right side
    196.45x = 30,939.18
  5. Step 5: Solve for x
    x = 30,939.18/196.45
  6. Step 6: Final answer
    x = 157.49

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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.