Finding the Fourth Proportional to 197.79, 272.97 and 114.93
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Solution
The fourth proportional to 197.79, 272.97 and 114.93 is: 158.61
Step by Step Solution
- Step 1: Write the proportion equation
197.79 : 272.97 = 114.93 : x - Step 2: Convert to fraction form
197.79/272.97 = 114.93/x - Step 3: Cross multiply
197.79x = 272.97 × 114.93 - Step 4: Simplify right side
197.79x = 31,372.44 - Step 5: Solve for x
x = 31,372.44/197.79 - Step 6: Final answer
x = 158.61
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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.