Finding the Fourth Proportional to 174.88, 262.32 and 78.58
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Solution
The fourth proportional to 174.88, 262.32 and 78.58 is: 117.87
Step by Step Solution
- Step 1: Write the proportion equation
174.88 : 262.32 = 78.58 : x - Step 2: Convert to fraction form
174.88/262.32 = 78.58/x - Step 3: Cross multiply
174.88x = 262.32 × 78.58 - Step 4: Simplify right side
174.88x = 20,613.11 - Step 5: Solve for x
x = 20,613.11/174.88 - Step 6: Final answer
x = 117.87
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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.