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Finding the Fourth Proportional to 404.85, 606.81 and 161.19

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Solution

The fourth proportional to 404.85, 606.81 and 161.19 is: 241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.85 : 606.81 = 161.19 : x
  2. Step 2: Convert to fraction form
    404.85/606.81 = 161.19/x
  3. Step 3: Cross multiply
    404.85x = 606.81 × 161.19
  4. Step 4: Simplify right side
    404.85x = 97,811.70
  5. Step 5: Solve for x
    x = 97,811.70/404.85
  6. Step 6: Final answer
    x = 241.60

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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.