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Finding the Fourth Proportional to 814.52, 1,221.77 and 198.21

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Solution

The fourth proportional to 814.52, 1,221.77 and 198.21 is: 297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.52 : 1,221.77 = 198.21 : x
  2. Step 2: Convert to fraction form
    814.52/1,221.77 = 198.21/x
  3. Step 3: Cross multiply
    814.52x = 1,221.77 × 198.21
  4. Step 4: Simplify right side
    814.52x = 242,167.53
  5. Step 5: Solve for x
    x = 242,167.53/814.52
  6. Step 6: Final answer
    x = 297.31

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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.