Finding the Fourth Proportional to 278.36, 416.99 and 181.88
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Solution
The fourth proportional to 278.36, 416.99 and 181.88 is: 272.46
Step by Step Solution
- Step 1: Write the proportion equation
278.36 : 416.99 = 181.88 : x - Step 2: Convert to fraction form
278.36/416.99 = 181.88/x - Step 3: Cross multiply
278.36x = 416.99 × 181.88 - Step 4: Simplify right side
278.36x = 75,842.14 - Step 5: Solve for x
x = 75,842.14/278.36 - Step 6: Final answer
x = 272.46
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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.