Fill in the boxe using the symbols` gt ,= or lt.`
`369.199 square 369.2`

Answer

To solve the problem of comparing the two decimal numbers 369.199 and 369.2, we will follow these steps:

### Step-by-Step Solution:

1. **Write the Numbers Clearly**:
We have two numbers to compare:
- First number: 369.199
- Second number: 369.2

2. **Align the Decimal Points**:
To make comparison easier, we can write both numbers with the same number of decimal places.
- The first number is already at three decimal places: 369.199
- The second number can be written as 369.200 (adding a zero at the end does not change its value).

3. **Compare the Whole Numbers**:
Look at the whole number part (the part before the decimal point):
- Both numbers have the same whole number part: 369.

4. **Compare the Decimal Parts**:
Now, we will compare the decimal parts:
- The decimal part of the first number is 199.
- The decimal part of the second number is 200.

5. **Determine the Relationship**:
Since 199 is less than 200, we can conclude that:
- 369.199 < 369.200

6. **Fill in the Box**:
Therefore, we can fill in the box with the symbol for "less than":
- 369.199 < 369.2

### Final Answer:
369.199 < 369.2

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