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Finding the Fourth Proportional to 366.99, 506.45 and 201.21

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Solution

The fourth proportional to 366.99, 506.45 and 201.21 is: 277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.99 : 506.45 = 201.21 : x
  2. Step 2: Convert to fraction form
    366.99/506.45 = 201.21/x
  3. Step 3: Cross multiply
    366.99x = 506.45 × 201.21
  4. Step 4: Simplify right side
    366.99x = 101,902.80
  5. Step 5: Solve for x
    x = 101,902.80/366.99
  6. Step 6: Final answer
    x = 277.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.