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Finding the Fourth Proportional to 196.45, 294.96 and 109.95

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Solution

The fourth proportional to 196.45, 294.96 and 109.95 is: 165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.45 : 294.96 = 109.95 : x
  2. Step 2: Convert to fraction form
    196.45/294.96 = 109.95/x
  3. Step 3: Cross multiply
    196.45x = 294.96 × 109.95
  4. Step 4: Simplify right side
    196.45x = 32,430.85
  5. Step 5: Solve for x
    x = 32,430.85/196.45
  6. Step 6: Final answer
    x = 165.09

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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.