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Finding the Fourth Proportional to 404.14, 606.21 and 111.61

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Solution

The fourth proportional to 404.14, 606.21 and 111.61 is: 167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.14 : 606.21 = 111.61 : x
  2. Step 2: Convert to fraction form
    404.14/606.21 = 111.61/x
  3. Step 3: Cross multiply
    404.14x = 606.21 × 111.61
  4. Step 4: Simplify right side
    404.14x = 67,659.10
  5. Step 5: Solve for x
    x = 67,659.10/404.14
  6. Step 6: Final answer
    x = 167.42

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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.