Finding the Fourth Proportional to 189.17, 283.77 and 97.84
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Solution
The fourth proportional to 189.17, 283.77 and 97.84 is: 146.77
Step by Step Solution
- Step 1: Write the proportion equation
189.17 : 283.77 = 97.84 : x - Step 2: Convert to fraction form
189.17/283.77 = 97.84/x - Step 3: Cross multiply
189.17x = 283.77 × 97.84 - Step 4: Simplify right side
189.17x = 27,764.06 - Step 5: Solve for x
x = 27,764.06/189.17 - Step 6: Final answer
x = 146.77
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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.