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Finding the Fourth Proportional to 801.14, 1,201.57 and 223.88

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Solution

The fourth proportional to 801.14, 1,201.57 and 223.88 is: 335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.14 : 1,201.57 = 223.88 : x
  2. Step 2: Convert to fraction form
    801.14/1,201.57 = 223.88/x
  3. Step 3: Cross multiply
    801.14x = 1,201.57 × 223.88
  4. Step 4: Simplify right side
    801.14x = 269,000.92
  5. Step 5: Solve for x
    x = 269,000.92/801.14
  6. Step 6: Final answer
    x = 335.77

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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.