If a:b=5:3, b:c=10:7 and c:d = 5:7 then find a:b:c:d Options : 250 : 150 : 105 : 174 250 : 105 : 150 : 147 250 : 150 : 105 : 137 250 : 150 : 105 : 147

Sure, let's solve this step by step:

1. We have the ratios a:b = 5:3, b:c = 10:7, and c:d = 5:7.

2. To find the ratio a:b:c:d, we need to make the common terms in the ratios (b and c) the same.

3. In the first two ratios, 'b' is common. To make the 'b' terms the same, we can multiply the first ratio by 10 and the second ratio by 3. This gives us a:b = 50:30 and b:c = 30:21.

4. Now, in the last two ratios, 'c' is common. To make the 'c' terms the same, we can multiply the second ratio by 5 and the third ratio by 21. This gives us b:c = 150:105 and c:d = 105:147.

5. Now, we can combine these ratios to get a:b:c:d = 50:30:105:147.

6. However, we can simplify this further by multiplying each term by 5 to get a:b:c:d = 250:150:105:147.

So, the correct option is 250 : 150 : 105 : 147.