Finding the Fourth Proportional to 768, 1,152 and 220.14
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Solution
The fourth proportional to 768, 1,152 and 220.14 is: 330.21
Step by Step Solution
- Step 1: Write the proportion equation
768 : 1,152 = 220.14 : x - Step 2: Convert to fraction form
768/1,152 = 220.14/x - Step 3: Cross multiply
768x = 1,152 × 220.14 - Step 4: Simplify right side
768x = 253,601.28 - Step 5: Solve for x
x = 253,601.28/768 - Step 6: Final answer
x = 330.21
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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.