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Finding the Fourth Proportional to 367.24, 506.54 and 219.84

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Solution

The fourth proportional to 367.24, 506.54 and 219.84 is: 303.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.24 : 506.54 = 219.84 : x
  2. Step 2: Convert to fraction form
    367.24/506.54 = 219.84/x
  3. Step 3: Cross multiply
    367.24x = 506.54 × 219.84
  4. Step 4: Simplify right side
    367.24x = 111,357.75
  5. Step 5: Solve for x
    x = 111,357.75/367.24
  6. Step 6: Final answer
    x = 303.23

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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.