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Finding the Fourth Proportional to 244.82, 367.24 and 71.47

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Solution

The fourth proportional to 244.82, 367.24 and 71.47 is: 107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.82 : 367.24 = 71.47 : x
  2. Step 2: Convert to fraction form
    244.82/367.24 = 71.47/x
  3. Step 3: Cross multiply
    244.82x = 367.24 × 71.47
  4. Step 4: Simplify right side
    244.82x = 26,247.48
  5. Step 5: Solve for x
    x = 26,247.48/244.82
  6. Step 6: Final answer
    x = 107.21

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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.