Finding the Fourth Proportional to 384.16, 576.24 and 156
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Solution
The fourth proportional to 384.16, 576.24 and 156 is: 234
Step by Step Solution
- Step 1: Write the proportion equation
384.16 : 576.24 = 156 : x - Step 2: Convert to fraction form
384.16/576.24 = 156/x - Step 3: Cross multiply
384.16x = 576.24 × 156 - Step 4: Simplify right side
384.16x = 89,893.44 - Step 5: Solve for x
x = 89,893.44/384.16 - Step 6: Final answer
x = 234
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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.