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Finding the Fourth Proportional to 404.09, 605.81 and 160.48

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Solution

The fourth proportional to 404.09, 605.81 and 160.48 is: 240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.09 : 605.81 = 160.48 : x
  2. Step 2: Convert to fraction form
    404.09/605.81 = 160.48/x
  3. Step 3: Cross multiply
    404.09x = 605.81 × 160.48
  4. Step 4: Simplify right side
    404.09x = 97,221.55
  5. Step 5: Solve for x
    x = 97,221.55/404.09
  6. Step 6: Final answer
    x = 240.59

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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.