Finding the Fourth Proportional to 192.96, 289.28 and 112
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Solution
The fourth proportional to 192.96, 289.28 and 112 is: 167.91
Step by Step Solution
- Step 1: Write the proportion equation
192.96 : 289.28 = 112 : x - Step 2: Convert to fraction form
192.96/289.28 = 112/x - Step 3: Cross multiply
192.96x = 289.28 × 112 - Step 4: Simplify right side
192.96x = 32,399.36 - Step 5: Solve for x
x = 32,399.36/192.96 - Step 6: Final answer
x = 167.91
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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.