Finding the Fourth Proportional to 257.42, 386.34 and 135.77
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Solution
The fourth proportional to 257.42, 386.34 and 135.77 is: 203.76
Step by Step Solution
- Step 1: Write the proportion equation
257.42 : 386.34 = 135.77 : x - Step 2: Convert to fraction form
257.42/386.34 = 135.77/x - Step 3: Cross multiply
257.42x = 386.34 × 135.77 - Step 4: Simplify right side
257.42x = 52,451.45 - Step 5: Solve for x
x = 52,451.45/257.42 - Step 6: Final answer
x = 203.76
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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.