Finding the Fourth Proportional to 472.02, 708.04 and 163.88
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Solution
The fourth proportional to 472.02, 708.04 and 163.88 is: 245.82
Step by Step Solution
- Step 1: Write the proportion equation
472.02 : 708.04 = 163.88 : x - Step 2: Convert to fraction form
472.02/708.04 = 163.88/x - Step 3: Cross multiply
472.02x = 708.04 × 163.88 - Step 4: Simplify right side
472.02x = 116,031.23 - Step 5: Solve for x
x = 116,031.23/472.02 - Step 6: Final answer
x = 245.82
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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.