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Finding the Fourth Proportional to 196.03, 293.73 and 109.23

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Solution

The fourth proportional to 196.03, 293.73 and 109.23 is: 163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.03 : 293.73 = 109.23 : x
  2. Step 2: Convert to fraction form
    196.03/293.73 = 109.23/x
  3. Step 3: Cross multiply
    196.03x = 293.73 × 109.23
  4. Step 4: Simplify right side
    196.03x = 32,084.13
  5. Step 5: Solve for x
    x = 32,084.13/196.03
  6. Step 6: Final answer
    x = 163.67

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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.