24 : 126 : : ? : 344       

The given ratio problem is in the form $A : B : : C : D$, where we need to find the missing value $C$.

Approach:

1. Look for the relationship between the numbers in the first pair ($A$ and $B$).
2. Apply the same relationship to the second pair ($C$ and $D$) to find $C$.

Here, $A : B = 24 : 126$.

Step 1: Simplify $A : B$:

Simplify $24 : 126$ by dividing both numbers by their greatest common divisor (GCD).

$$24 \div 6 = 4, \quad 126 \div 6 = 21.$$

So, $24 : 126 = 4 : 21$.

Step 2: Use the same ratio for $C : 344$:

We need to find $C$ such that $C : 344 = 4 : 21$.

Let $C$ be $x$. Then,

344x​=214​.

Step 3: Solve for $x$:

x=214​×344.

Simplify:

$$x = 65.52 \text{ (approximately)}.$$

Final Answer:

The missing value $C$ is approximately 65.52.