Finding the Fourth Proportional to 282.96, 390 and 213
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Solution
The fourth proportional to 282.96, 390 and 213 is: 293.58
Step by Step Solution
- Step 1: Write the proportion equation
282.96 : 390 = 213 : x - Step 2: Convert to fraction form
282.96/390 = 213/x - Step 3: Cross multiply
282.96x = 390 × 213 - Step 4: Simplify right side
282.96x = 83,070 - Step 5: Solve for x
x = 83,070/282.96 - Step 6: Final answer
x = 293.58
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.