How bad is top 20% rank?

I have a 3.67 UW GPA, roughly 3.8 WGPA. This is because I did not take very many challenging classes first two years of HS (One honors class in soph year, no AP, despite there being the option for me to do so). I took 3 AP's junior year and taking 4-5 Senior year. However, my class rank is only the top 20%(like 70 out of 360ish). When I look at the top schools, they have vast majorities of their students in the top 10% of their class. Even with my decent gpa and good ACT score (32) will my class rank keep me out of these competitive universities? (along the lines of Rice, WashU, U-Rochester, etc).