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Finding the Fourth Proportional to 668.76, 1,003.22 and 200.26

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Solution

The fourth proportional to 668.76, 1,003.22 and 200.26 is: 300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.76 : 1,003.22 = 200.26 : x
  2. Step 2: Convert to fraction form
    668.76/1,003.22 = 200.26/x
  3. Step 3: Cross multiply
    668.76x = 1,003.22 × 200.26
  4. Step 4: Simplify right side
    668.76x = 200,904.84
  5. Step 5: Solve for x
    x = 200,904.84/668.76
  6. Step 6: Final answer
    x = 300.41

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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.