Finding the Fourth Proportional to 174, 259.64 and 157.84
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Solution
The fourth proportional to 174, 259.64 and 157.84 is: 235.53
Step by Step Solution
- Step 1: Write the proportion equation
174 : 259.64 = 157.84 : x - Step 2: Convert to fraction form
174/259.64 = 157.84/x - Step 3: Cross multiply
174x = 259.64 × 157.84 - Step 4: Simplify right side
174x = 40,981.58 - Step 5: Solve for x
x = 40,981.58/174 - Step 6: Final answer
x = 235.53
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.