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Finding the Fourth Proportional to 814.06, 1,221.09 and 197.77

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Solution

The fourth proportional to 814.06, 1,221.09 and 197.77 is: 296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.06 : 1,221.09 = 197.77 : x
  2. Step 2: Convert to fraction form
    814.06/1,221.09 = 197.77/x
  3. Step 3: Cross multiply
    814.06x = 1,221.09 × 197.77
  4. Step 4: Simplify right side
    814.06x = 241,488.86
  5. Step 5: Solve for x
    x = 241,488.86/814.06
  6. Step 6: Final answer
    x = 296.65

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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.