There are several synonyms for the word "meritedly" that can be used to convey a similar meaning. Some of these synonyms include deservedly, rightfully, justly, appropriately, fittingly, and rightly. Each of these words can be used in a sentence to describe a situation where something is being given or achieved for a good reason, based on merit or appropriate circumstances. For example, you might say, "She meritedly received an award for her outstanding achievements," or "He rightfully earned praise for his hard work." Using these synonyms can help to add variety and depth to your writing while still communicating the same message effectively.