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Finding the Fourth Proportional to 277.60, 382.54 and 203.94

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Solution

The fourth proportional to 277.60, 382.54 and 203.94 is: 281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.60 : 382.54 = 203.94 : x
  2. Step 2: Convert to fraction form
    277.60/382.54 = 203.94/x
  3. Step 3: Cross multiply
    277.60x = 382.54 × 203.94
  4. Step 4: Simplify right side
    277.60x = 78,015.21
  5. Step 5: Solve for x
    x = 78,015.21/277.60
  6. Step 6: Final answer
    x = 281.03

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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.