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Finding the Fourth Proportional to 196.07, 293.87 and 109.35

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Solution

The fourth proportional to 196.07, 293.87 and 109.35 is: 163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.07 : 293.87 = 109.35 : x
  2. Step 2: Convert to fraction form
    196.07/293.87 = 109.35/x
  3. Step 3: Cross multiply
    196.07x = 293.87 × 109.35
  4. Step 4: Simplify right side
    196.07x = 32,134.14
  5. Step 5: Solve for x
    x = 32,134.14/196.07
  6. Step 6: Final answer
    x = 163.90

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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.