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Finding the Fourth Proportional to 333.99, 499.77 and 196.56

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Solution

The fourth proportional to 333.99, 499.77 and 196.56 is: 294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.99 : 499.77 = 196.56 : x
  2. Step 2: Convert to fraction form
    333.99/499.77 = 196.56/x
  3. Step 3: Cross multiply
    333.99x = 499.77 × 196.56
  4. Step 4: Simplify right side
    333.99x = 98,234.79
  5. Step 5: Solve for x
    x = 98,234.79/333.99
  6. Step 6: Final answer
    x = 294.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.