Finding the Fourth Proportional to 267.14, 400.43 and 122.96
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Solution
The fourth proportional to 267.14, 400.43 and 122.96 is: 184.31
Step by Step Solution
- Step 1: Write the proportion equation
267.14 : 400.43 = 122.96 : x - Step 2: Convert to fraction form
267.14/400.43 = 122.96/x - Step 3: Cross multiply
267.14x = 400.43 × 122.96 - Step 4: Simplify right side
267.14x = 49,235.18 - Step 5: Solve for x
x = 49,235.18/267.14 - Step 6: Final answer
x = 184.31
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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.