Yes, the trains are express and very convenient to Termini station. When we took the train into Rome it cost 15,000 lire per person or about $6.50U.S. today.

snackyx,
you were quoted 155,000 lire? Where is the hotel located. We stayed at the Sofitel Roma, which is a 2-minute walk to the Via Veneto and 10 minutes to the Spanish Steps. After we checked out, we told the licensed cabbie to take us to Termini station (6,000 lire); he offered to take us to the airport for 60,000 lire including tip. I gave him 10,000 lire tip so 70,000 altogether. Even though they charge an airport fee, I cannot imagine it being that much more.