Finding the Fourth Proportional to 274.76, 378.82 and 197
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Solution
The fourth proportional to 274.76, 378.82 and 197 is: 271.61
Step by Step Solution
- Step 1: Write the proportion equation
274.76 : 378.82 = 197 : x - Step 2: Convert to fraction form
274.76/378.82 = 197/x - Step 3: Cross multiply
274.76x = 378.82 × 197 - Step 4: Simplify right side
274.76x = 74,627.54 - Step 5: Solve for x
x = 74,627.54/274.76 - Step 6: Final answer
x = 271.61
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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.