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Finding the Fourth Proportional to 251.50, 374.75 and 224.25

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Solution

The fourth proportional to 251.50, 374.75 and 224.25 is: 334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.50 : 374.75 = 224.25 : x
  2. Step 2: Convert to fraction form
    251.50/374.75 = 224.25/x
  3. Step 3: Cross multiply
    251.50x = 374.75 × 224.25
  4. Step 4: Simplify right side
    251.50x = 84,037.69
  5. Step 5: Solve for x
    x = 84,037.69/251.50
  6. Step 6: Final answer
    x = 334.15

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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.