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Finding the Fourth Proportional to 366.81, 506.25 and 219.57

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Solution

The fourth proportional to 366.81, 506.25 and 219.57 is: 303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.81 : 506.25 = 219.57 : x
  2. Step 2: Convert to fraction form
    366.81/506.25 = 219.57/x
  3. Step 3: Cross multiply
    366.81x = 506.25 × 219.57
  4. Step 4: Simplify right side
    366.81x = 111,157.31
  5. Step 5: Solve for x
    x = 111,157.31/366.81
  6. Step 6: Final answer
    x = 303.04

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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.