Finding the Fourth Proportional to 257, 385.66 and 105
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Solution
The fourth proportional to 257, 385.66 and 105 is: 157.57
Step by Step Solution
- Step 1: Write the proportion equation
257 : 385.66 = 105 : x - Step 2: Convert to fraction form
257/385.66 = 105/x - Step 3: Cross multiply
257x = 385.66 × 105 - Step 4: Simplify right side
257x = 40,494.30 - Step 5: Solve for x
x = 40,494.30/257 - Step 6: Final answer
x = 157.57
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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.