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Finding the Fourth Proportional to 748.21, 1,122.42 and 200.41

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Solution

The fourth proportional to 748.21, 1,122.42 and 200.41 is: 300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.21 : 1,122.42 = 200.41 : x
  2. Step 2: Convert to fraction form
    748.21/1,122.42 = 200.41/x
  3. Step 3: Cross multiply
    748.21x = 1,122.42 × 200.41
  4. Step 4: Simplify right side
    748.21x = 224,944.19
  5. Step 5: Solve for x
    x = 224,944.19/748.21
  6. Step 6: Final answer
    x = 300.64

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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.