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Finding the Fourth Proportional to 333.54, 499.96 and 196.56

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Solution

The fourth proportional to 333.54, 499.96 and 196.56 is: 294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.54 : 499.96 = 196.56 : x
  2. Step 2: Convert to fraction form
    333.54/499.96 = 196.56/x
  3. Step 3: Cross multiply
    333.54x = 499.96 × 196.56
  4. Step 4: Simplify right side
    333.54x = 98,272.14
  5. Step 5: Solve for x
    x = 98,272.14/333.54
  6. Step 6: Final answer
    x = 294.63

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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.