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Finding the Fourth Proportional to 404.78, 606.74 and 161.20

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Solution

The fourth proportional to 404.78, 606.74 and 161.20 is: 241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.78 : 606.74 = 161.20 : x
  2. Step 2: Convert to fraction form
    404.78/606.74 = 161.20/x
  3. Step 3: Cross multiply
    404.78x = 606.74 × 161.20
  4. Step 4: Simplify right side
    404.78x = 97,806.49
  5. Step 5: Solve for x
    x = 97,806.49/404.78
  6. Step 6: Final answer
    x = 241.63

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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.