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Finding the Fourth Proportional to 244.69, 366.31 and 214.31

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Solution

The fourth proportional to 244.69, 366.31 and 214.31 is: 320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.69 : 366.31 = 214.31 : x
  2. Step 2: Convert to fraction form
    244.69/366.31 = 214.31/x
  3. Step 3: Cross multiply
    244.69x = 366.31 × 214.31
  4. Step 4: Simplify right side
    244.69x = 78,504.28
  5. Step 5: Solve for x
    x = 78,504.28/244.69
  6. Step 6: Final answer
    x = 320.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.