Finding the Fourth Proportional to 376, 564 and 148
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Solution
The fourth proportional to 376, 564 and 148 is: 222
Step by Step Solution
- Step 1: Write the proportion equation
376 : 564 = 148 : x - Step 2: Convert to fraction form
376/564 = 148/x - Step 3: Cross multiply
376x = 564 × 148 - Step 4: Simplify right side
376x = 83,472 - Step 5: Solve for x
x = 83,472/376 - Step 6: Final answer
x = 222
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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.