Finding the Fourth Proportional to 288.12, 397.64 and 171.68
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Solution
The fourth proportional to 288.12, 397.64 and 171.68 is: 236.94
Step by Step Solution
- Step 1: Write the proportion equation
288.12 : 397.64 = 171.68 : x - Step 2: Convert to fraction form
288.12/397.64 = 171.68/x - Step 3: Cross multiply
288.12x = 397.64 × 171.68 - Step 4: Simplify right side
288.12x = 68,266.84 - Step 5: Solve for x
x = 68,266.84/288.12 - Step 6: Final answer
x = 236.94
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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.