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Finding the Fourth Proportional to 277.43, 382.70 and 172.49

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Solution

The fourth proportional to 277.43, 382.70 and 172.49 is: 237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.43 : 382.70 = 172.49 : x
  2. Step 2: Convert to fraction form
    277.43/382.70 = 172.49/x
  3. Step 3: Cross multiply
    277.43x = 382.70 × 172.49
  4. Step 4: Simplify right side
    277.43x = 66,010.44
  5. Step 5: Solve for x
    x = 66,010.44/277.43
  6. Step 6: Final answer
    x = 237.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.