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Finding the Fourth Proportional to 244.91, 367.15 and 142.04

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Solution

The fourth proportional to 244.91, 367.15 and 142.04 is: 212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.91 : 367.15 = 142.04 : x
  2. Step 2: Convert to fraction form
    244.91/367.15 = 142.04/x
  3. Step 3: Cross multiply
    244.91x = 367.15 × 142.04
  4. Step 4: Simplify right side
    244.91x = 52,149.99
  5. Step 5: Solve for x
    x = 52,149.99/244.91
  6. Step 6: Final answer
    x = 212.94

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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.