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Finding the Fourth Proportional to 277.82, 382.38 and 204.02

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Solution

The fourth proportional to 277.82, 382.38 and 204.02 is: 280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.82 : 382.38 = 204.02 : x
  2. Step 2: Convert to fraction form
    277.82/382.38 = 204.02/x
  3. Step 3: Cross multiply
    277.82x = 382.38 × 204.02
  4. Step 4: Simplify right side
    277.82x = 78,013.17
  5. Step 5: Solve for x
    x = 78,013.17/277.82
  6. Step 6: Final answer
    x = 280.80

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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.