This is a problem where you need to arrange a set of numbers in ascending order. Let's go through each of the numbers and convert them into a comparable format:

1. 43.176 – This is already in decimal form.
2. 43 1/6 – This is a mixed number. To convert it to a decimal, divide 1 by 6 and add it to 43: $1 \div 6 = 0.1667, \quad 43 + 0.1667 = 43.1667$
3. 43.512 – This is already in decimal form.
4. 43 3/7 – This is another mixed number. Convert it to a decimal by dividing 3 by 7 and adding it to 43: $3 \div 7 = 0.4286, \quad 43 + 0.4286 = 43.4286$
5. 43.368 – This is already in decimal form.

Now, let's arrange the numbers from least to greatest:

• 43 1/6 (43.1667)
• 43.176
• 43.368
• 43 3/7 (43.4286)
• 43.512

Thus, the order from least to greatest is:

1. 43 1/6 (43.1667)
2. 43.176
3. 43.368
4. 43 3/7 (43.4286)
5. 43.512

Would you like further explanation or help with another question? Here are a few follow-up questions:

1. How do you convert other mixed numbers to decimals?
2. Can fractions and decimals be compared directly, or do they need to be converted?
3. How do you handle negative fractions or decimals in comparison problems?
4. What is the difference between a mixed number and an improper fraction?
5. How do you round decimals for easier comparison?

Tip: When comparing fractions to decimals, it's often easier to convert the fractions to decimals first, as this allows you to directly compare the values.