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Finding the Fourth Proportional to 366.82, 506.16 and 219.49

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Solution

The fourth proportional to 366.82, 506.16 and 219.49 is: 302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.82 : 506.16 = 219.49 : x
  2. Step 2: Convert to fraction form
    366.82/506.16 = 219.49/x
  3. Step 3: Cross multiply
    366.82x = 506.16 × 219.49
  4. Step 4: Simplify right side
    366.82x = 111,097.06
  5. Step 5: Solve for x
    x = 111,097.06/366.82
  6. Step 6: Final answer
    x = 302.87

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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.