Finding the Fourth Proportional to 231.08, 346.46 and 117
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Solution
The fourth proportional to 231.08, 346.46 and 117 is: 175.42
Step by Step Solution
- Step 1: Write the proportion equation
231.08 : 346.46 = 117 : x - Step 2: Convert to fraction form
231.08/346.46 = 117/x - Step 3: Cross multiply
231.08x = 346.46 × 117 - Step 4: Simplify right side
231.08x = 40,535.82 - Step 5: Solve for x
x = 40,535.82/231.08 - Step 6: Final answer
x = 175.42
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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.