Finding the Fourth Proportional to 197.09, 271.99 and 109.76
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Solution
The fourth proportional to 197.09, 271.99 and 109.76 is: 151.47
Step by Step Solution
- Step 1: Write the proportion equation
197.09 : 271.99 = 109.76 : x - Step 2: Convert to fraction form
197.09/271.99 = 109.76/x - Step 3: Cross multiply
197.09x = 271.99 × 109.76 - Step 4: Simplify right side
197.09x = 29,853.62 - Step 5: Solve for x
x = 29,853.62/197.09 - Step 6: Final answer
x = 151.47
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.