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Finding the Fourth Proportional to 277.18, 382.89 and 199.96

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Solution

The fourth proportional to 277.18, 382.89 and 199.96 is: 276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.18 : 382.89 = 199.96 : x
  2. Step 2: Convert to fraction form
    277.18/382.89 = 199.96/x
  3. Step 3: Cross multiply
    277.18x = 382.89 × 199.96
  4. Step 4: Simplify right side
    277.18x = 76,562.48
  5. Step 5: Solve for x
    x = 76,562.48/277.18
  6. Step 6: Final answer
    x = 276.22

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Why These Related Problems?

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