There were lack of financial guarantees from the city-organizer, so the city withdrew.
The city, with an almost $320 million budget, filed for bankruptcy protection last year but later withdrew its application.
If other cities do not withdraw, Rome will remain in the bidding.
The city has since withdrawn its original proposal and is studying new options for the site.
The same day the city withdrew the plan, saying it would look for a new site.
The last two cities withdrew their bids shortly before the vote.
In October it began work again, but the city would not withdraw the action.
The city of Detroit technically owns the museum building and collection, but withdrew the city's financial support.
But the day before the contract was to be signed in April 1987, the city withdrew the offer.
If the new system works well, he said, the city might withdraw its appeal.