Finding the Fourth Proportional to 212.46, 318.06 and 164.40
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Solution
The fourth proportional to 212.46, 318.06 and 164.40 is: 246.11
Step by Step Solution
- Step 1: Write the proportion equation
212.46 : 318.06 = 164.40 : x - Step 2: Convert to fraction form
212.46/318.06 = 164.40/x - Step 3: Cross multiply
212.46x = 318.06 × 164.40 - Step 4: Simplify right side
212.46x = 52,289.06 - Step 5: Solve for x
x = 52,289.06/212.46 - Step 6: Final answer
x = 246.11
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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.