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Finding the Fourth Proportional to 196.13, 293.96 and 109.50

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Solution

The fourth proportional to 196.13, 293.96 and 109.50 is: 164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.13 : 293.96 = 109.50 : x
  2. Step 2: Convert to fraction form
    196.13/293.96 = 109.50/x
  3. Step 3: Cross multiply
    196.13x = 293.96 × 109.50
  4. Step 4: Simplify right side
    196.13x = 32,188.86
  5. Step 5: Solve for x
    x = 32,188.86/196.13
  6. Step 6: Final answer
    x = 164.12

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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.