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Finding the Fourth Proportional to 251.24, 379 and 224.52

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Solution

The fourth proportional to 251.24, 379 and 224.52 is: 338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.24 : 379 = 224.52 : x
  2. Step 2: Convert to fraction form
    251.24/379 = 224.52/x
  3. Step 3: Cross multiply
    251.24x = 379 × 224.52
  4. Step 4: Simplify right side
    251.24x = 85,093.08
  5. Step 5: Solve for x
    x = 85,093.08/251.24
  6. Step 6: Final answer
    x = 338.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.