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Finding the Fourth Proportional to 366.96, 550.44 and 196.08

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Solution

The fourth proportional to 366.96, 550.44 and 196.08 is: 294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.96 : 550.44 = 196.08 : x
  2. Step 2: Convert to fraction form
    366.96/550.44 = 196.08/x
  3. Step 3: Cross multiply
    366.96x = 550.44 × 196.08
  4. Step 4: Simplify right side
    366.96x = 107,930.28
  5. Step 5: Solve for x
    x = 107,930.28/366.96
  6. Step 6: Final answer
    x = 294.12

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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.