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Finding the Fourth Proportional to 186.96, 280.97 and 109.96

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Solution

The fourth proportional to 186.96, 280.97 and 109.96 is: 165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.96 : 280.97 = 109.96 : x
  2. Step 2: Convert to fraction form
    186.96/280.97 = 109.96/x
  3. Step 3: Cross multiply
    186.96x = 280.97 × 109.96
  4. Step 4: Simplify right side
    186.96x = 30,894.62
  5. Step 5: Solve for x
    x = 30,894.62/186.96
  6. Step 6: Final answer
    x = 165.25

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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.