The correct option is A that of the Dewey Decimal
In the given sentence, 'the systems of classification' of the Library of Congress and the Dewey Decimal are spoken about. 'The system of classification of the Library of Congress' is to be replaced by 'the system of classification of the Dewey Decimal. 'That' is a demonstrative used to refer back to an entire phrase or sentence. Here, 'that' is being used to replace the phrase 'system of classification' in the second half of the sentence, hence option A is correct. This phrase is not being replaced by 'the Dewey Decimal' itself, so option D is incorrect, even by eliminating 'the' in option C, it's still incorrect. 'Those' refers to plural nouns since we are comparing the system of classification (singular noun) we need a singular demonstrative pronoun, not a plural one, which makes option B incorrect.