Step 1: IPv4 Address Validity Criteria.
- An IPv4 address consists of four octets, delimited by periods.
- Each octet must contain a numerical value between 0 and 255, inclusive.
Step 2: Evaluation of Each Candidate.
- Candidate 1: FC:F8:AE:CE:7B:16 → This string represents a MAC address, not an IP address. It is invalid.
- Candidate 2: 192.168.256.178 → The octet '256' exceeds the maximum allowed value of 255. This is invalid.
- Candidate 3: 192.168.0.178 → All octets (192, 168, 0, 178) fall within the acceptable range of 0–255. This is valid.
- Candidate 4: 192.168.0.-1 → The presence of a negative value ('-1') in an octet is not permitted. This is invalid.
Conclusion: \[\boxed{192.168.0.178}\]