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Finding the Fourth Proportional to 244.76, 367.39 and 142.24

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Solution

The fourth proportional to 244.76, 367.39 and 142.24 is: 213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.76 : 367.39 = 142.24 : x
  2. Step 2: Convert to fraction form
    244.76/367.39 = 142.24/x
  3. Step 3: Cross multiply
    244.76x = 367.39 × 142.24
  4. Step 4: Simplify right side
    244.76x = 52,258.25
  5. Step 5: Solve for x
    x = 52,258.25/244.76
  6. Step 6: Final answer
    x = 213.51

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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.