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Finding the Fourth Proportional to 330.67, 496.05 and 159.67

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Solution

The fourth proportional to 330.67, 496.05 and 159.67 is: 239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.67 : 496.05 = 159.67 : x
  2. Step 2: Convert to fraction form
    330.67/496.05 = 159.67/x
  3. Step 3: Cross multiply
    330.67x = 496.05 × 159.67
  4. Step 4: Simplify right side
    330.67x = 79,204.30
  5. Step 5: Solve for x
    x = 79,204.30/330.67
  6. Step 6: Final answer
    x = 239.53

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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.