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Finding the Fourth Proportional to 366.93, 506.17 and 219.54

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Solution

The fourth proportional to 366.93, 506.17 and 219.54 is: 302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.93 : 506.17 = 219.54 : x
  2. Step 2: Convert to fraction form
    366.93/506.17 = 219.54/x
  3. Step 3: Cross multiply
    366.93x = 506.17 × 219.54
  4. Step 4: Simplify right side
    366.93x = 111,124.56
  5. Step 5: Solve for x
    x = 111,124.56/366.93
  6. Step 6: Final answer
    x = 302.85

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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.