Finding the Fourth Proportional to 196.86, 294.71 and 145.73
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Solution
The fourth proportional to 196.86, 294.71 and 145.73 is: 218.17
Step by Step Solution
- Step 1: Write the proportion equation
196.86 : 294.71 = 145.73 : x - Step 2: Convert to fraction form
196.86/294.71 = 145.73/x - Step 3: Cross multiply
196.86x = 294.71 × 145.73 - Step 4: Simplify right side
196.86x = 42,948.09 - Step 5: Solve for x
x = 42,948.09/196.86 - Step 6: Final answer
x = 218.17
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.