Finding the Fourth Proportional to 274.09, 378.23 and 149.74
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Solution
The fourth proportional to 274.09, 378.23 and 149.74 is: 206.64
Step by Step Solution
- Step 1: Write the proportion equation
274.09 : 378.23 = 149.74 : x - Step 2: Convert to fraction form
274.09/378.23 = 149.74/x - Step 3: Cross multiply
274.09x = 378.23 × 149.74 - Step 4: Simplify right side
274.09x = 56,637.44 - Step 5: Solve for x
x = 56,637.44/274.09 - Step 6: Final answer
x = 206.64
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.