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Finding the Fourth Proportional to 277.26, 382.46 and 211.74

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Solution

The fourth proportional to 277.26, 382.46 and 211.74 is: 292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.26 : 382.46 = 211.74 : x
  2. Step 2: Convert to fraction form
    277.26/382.46 = 211.74/x
  3. Step 3: Cross multiply
    277.26x = 382.46 × 211.74
  4. Step 4: Simplify right side
    277.26x = 80,982.08
  5. Step 5: Solve for x
    x = 80,982.08/277.26
  6. Step 6: Final answer
    x = 292.08

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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.