Finding the Fourth Proportional to 196.59, 271.32 and 109.28
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Solution
The fourth proportional to 196.59, 271.32 and 109.28 is: 150.82
Step by Step Solution
- Step 1: Write the proportion equation
196.59 : 271.32 = 109.28 : x - Step 2: Convert to fraction form
196.59/271.32 = 109.28/x - Step 3: Cross multiply
196.59x = 271.32 × 109.28 - Step 4: Simplify right side
196.59x = 29,650.12 - Step 5: Solve for x
x = 29,650.12/196.59 - Step 6: Final answer
x = 150.82
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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.