Finding the Fourth Proportional to 361.86, 542.72 and 164.22
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Solution
The fourth proportional to 361.86, 542.72 and 164.22 is: 246.30
Step by Step Solution
- Step 1: Write the proportion equation
361.86 : 542.72 = 164.22 : x - Step 2: Convert to fraction form
361.86/542.72 = 164.22/x - Step 3: Cross multiply
361.86x = 542.72 × 164.22 - Step 4: Simplify right side
361.86x = 89,124.66 - Step 5: Solve for x
x = 89,124.66/361.86 - Step 6: Final answer
x = 246.30
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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.