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Finding the Fourth Proportional to 513.18, 769.62 and 147.99

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Solution

The fourth proportional to 513.18, 769.62 and 147.99 is: 221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.18 : 769.62 = 147.99 : x
  2. Step 2: Convert to fraction form
    513.18/769.62 = 147.99/x
  3. Step 3: Cross multiply
    513.18x = 769.62 × 147.99
  4. Step 4: Simplify right side
    513.18x = 113,896.06
  5. Step 5: Solve for x
    x = 113,896.06/513.18
  6. Step 6: Final answer
    x = 221.94

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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.