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Finding the Fourth Proportional to 244.22, 366.43 and 114.12

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Solution

The fourth proportional to 244.22, 366.43 and 114.12 is: 171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.22 : 366.43 = 114.12 : x
  2. Step 2: Convert to fraction form
    244.22/366.43 = 114.12/x
  3. Step 3: Cross multiply
    244.22x = 366.43 × 114.12
  4. Step 4: Simplify right side
    244.22x = 41,817.62
  5. Step 5: Solve for x
    x = 41,817.62/244.22
  6. Step 6: Final answer
    x = 171.23

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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.