Finding the Fourth Proportional to 196.52, 294.30 and 142.76
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Solution
The fourth proportional to 196.52, 294.30 and 142.76 is: 213.79
Step by Step Solution
- Step 1: Write the proportion equation
196.52 : 294.30 = 142.76 : x - Step 2: Convert to fraction form
196.52/294.30 = 142.76/x - Step 3: Cross multiply
196.52x = 294.30 × 142.76 - Step 4: Simplify right side
196.52x = 42,014.27 - Step 5: Solve for x
x = 42,014.27/196.52 - Step 6: Final answer
x = 213.79
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.