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Finding the Fourth Proportional to 333.19, 499.44 and 170.78

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Solution

The fourth proportional to 333.19, 499.44 and 170.78 is: 255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.19 : 499.44 = 170.78 : x
  2. Step 2: Convert to fraction form
    333.19/499.44 = 170.78/x
  3. Step 3: Cross multiply
    333.19x = 499.44 × 170.78
  4. Step 4: Simplify right side
    333.19x = 85,294.36
  5. Step 5: Solve for x
    x = 85,294.36/333.19
  6. Step 6: Final answer
    x = 255.99

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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.