Finding the Fourth Proportional to 342.88, 513.24 and 214
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Solution
The fourth proportional to 342.88, 513.24 and 214 is: 320.33
Step by Step Solution
- Step 1: Write the proportion equation
342.88 : 513.24 = 214 : x - Step 2: Convert to fraction form
342.88/513.24 = 214/x - Step 3: Cross multiply
342.88x = 513.24 × 214 - Step 4: Simplify right side
342.88x = 109,833.36 - Step 5: Solve for x
x = 109,833.36/342.88 - Step 6: Final answer
x = 320.33
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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.