Suggest the quickest would be to walk along the beach front path, the walk along Jl Jenggala to Jl Kartika Plaza then to Ramada seems longer but if you need to look at shops etc then it's the way to go.(these are times taking the path)from the Rama to Ramada approx 5mins,to Discovery mall approx 10mins, Discovery mall to Kuta (Jl Pantai Kuta corner opposite Hard Rock Hotel cafe)approx 10mins.
You can cut through Discovery mall beachside to Jl Kartika Plaza and then walk across the road (diagonally to your left to Waterbom)
Turn right outside Rama walking towards the beach, turn right at GGResort & Spa & walk along the road to Gang Samudra turn right,you will pass the entrance to the Pantai Restaurant on your left as you walk to Gang Samudra which will bring you out onto Jl Kartika Plaza, turn left and the Ramada is just a short walk up from here.
I'd say 1km or just over & 5,000rup maybe 5,000rup+just taxi fare. (5,000rup from Ramayana hotel to GGHotel on Jl Kartika Plaza)