Finding the Fourth Proportional to 340.67, 510.91 and 97.14
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Solution
The fourth proportional to 340.67, 510.91 and 97.14 is: 145.68
Step by Step Solution
- Step 1: Write the proportion equation
340.67 : 510.91 = 97.14 : x - Step 2: Convert to fraction form
340.67/510.91 = 97.14/x - Step 3: Cross multiply
340.67x = 510.91 × 97.14 - Step 4: Simplify right side
340.67x = 49,627.24 - Step 5: Solve for x
x = 49,627.24/340.67 - Step 6: Final answer
x = 145.68
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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.