Finding the Fourth Proportional to 548.08, 822.04 and 206
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Solution
The fourth proportional to 548.08, 822.04 and 206 is: 308.97
Step by Step Solution
- Step 1: Write the proportion equation
548.08 : 822.04 = 206 : x - Step 2: Convert to fraction form
548.08/822.04 = 206/x - Step 3: Cross multiply
548.08x = 822.04 × 206 - Step 4: Simplify right side
548.08x = 169,340.24 - Step 5: Solve for x
x = 169,340.24/548.08 - Step 6: Final answer
x = 308.97
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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.