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Finding the Fourth Proportional to 366.89, 506.37 and 219.62

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Solution

The fourth proportional to 366.89, 506.37 and 219.62 is: 303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.89 : 506.37 = 219.62 : x
  2. Step 2: Convert to fraction form
    366.89/506.37 = 219.62/x
  3. Step 3: Cross multiply
    366.89x = 506.37 × 219.62
  4. Step 4: Simplify right side
    366.89x = 111,208.98
  5. Step 5: Solve for x
    x = 111,208.98/366.89
  6. Step 6: Final answer
    x = 303.11

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Why These Related Problems?

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