Finding the Fourth Proportional to 178.24, 246 and 160
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Solution
The fourth proportional to 178.24, 246 and 160 is: 220.83
Step by Step Solution
- Step 1: Write the proportion equation
178.24 : 246 = 160 : x - Step 2: Convert to fraction form
178.24/246 = 160/x - Step 3: Cross multiply
178.24x = 246 × 160 - Step 4: Simplify right side
178.24x = 39,360 - Step 5: Solve for x
x = 39,360/178.24 - Step 6: Final answer
x = 220.83
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.