Finding the Fourth Proportional to 304.50, 420.22 and 166.50
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Solution
The fourth proportional to 304.50, 420.22 and 166.50 is: 229.78
Step by Step Solution
- Step 1: Write the proportion equation
304.50 : 420.22 = 166.50 : x - Step 2: Convert to fraction form
304.50/420.22 = 166.50/x - Step 3: Cross multiply
304.50x = 420.22 × 166.50 - Step 4: Simplify right side
304.50x = 69,966.63 - Step 5: Solve for x
x = 69,966.63/304.50 - Step 6: Final answer
x = 229.78
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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.