Finding the Fourth Proportional to 274.24, 378.84 and 197.02
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Solution
The fourth proportional to 274.24, 378.84 and 197.02 is: 272.17
Step by Step Solution
- Step 1: Write the proportion equation
274.24 : 378.84 = 197.02 : x - Step 2: Convert to fraction form
274.24/378.84 = 197.02/x - Step 3: Cross multiply
274.24x = 378.84 × 197.02 - Step 4: Simplify right side
274.24x = 74,639.06 - Step 5: Solve for x
x = 74,639.06/274.24 - Step 6: Final answer
x = 272.17
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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.