How did Holmes guess that John Garrideb would go to 136, Little Ryder Street? Did he expect to find what he ultimately did before he went there?

John Garrideb was furious over the fact that Nathan got a detective involved in the whole case and as Holmes and Watson knew this they expected John Garrideb to show up immediately after their meeting in Nathan's apartment. They knew that John will come to question and express his discomfort over Nathan's actions. However, Holmes and Watson did put the man at ease by clearing it to him that they were least interested in any matter and won his confidence by showing that they were just to help him in discovering another Garideb. Thus, Garrideb did appear at Little Ryder Street. To their amazement, he had acted promptly by coming up with the advertisement of Howard Garrideb and with a neat plan of sending Nathan away to Birmingham and knocking the detectives out of his way so that he can carry his plan out without any hindrance.