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Finding the Fourth Proportional to 814.04, 1,221.04 and 197.75

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Solution

The fourth proportional to 814.04, 1,221.04 and 197.75 is: 296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.04 : 1,221.04 = 197.75 : x
  2. Step 2: Convert to fraction form
    814.04/1,221.04 = 197.75/x
  3. Step 3: Cross multiply
    814.04x = 1,221.04 × 197.75
  4. Step 4: Simplify right side
    814.04x = 241,454.25
  5. Step 5: Solve for x
    x = 241,454.25/814.04
  6. Step 6: Final answer
    x = 296.61

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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.