Finding the Fourth Proportional to 274.13, 378.30 and 157.70
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Solution
The fourth proportional to 274.13, 378.30 and 157.70 is: 217.62
Step by Step Solution
- Step 1: Write the proportion equation
274.13 : 378.30 = 157.70 : x - Step 2: Convert to fraction form
274.13/378.30 = 157.70/x - Step 3: Cross multiply
274.13x = 378.30 × 157.70 - Step 4: Simplify right side
274.13x = 59,656.02 - Step 5: Solve for x
x = 59,656.02/274.13 - Step 6: Final answer
x = 217.62
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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.