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Finding the Fourth Proportional to 251.37, 375.11 and 224.10

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Solution

The fourth proportional to 251.37, 375.11 and 224.10 is: 334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.37 : 375.11 = 224.10 : x
  2. Step 2: Convert to fraction form
    251.37/375.11 = 224.10/x
  3. Step 3: Cross multiply
    251.37x = 375.11 × 224.10
  4. Step 4: Simplify right side
    251.37x = 84,062.71
  5. Step 5: Solve for x
    x = 84,062.71/251.37
  6. Step 6: Final answer
    x = 334.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.