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Finding the Fourth Proportional to 277.78, 383.28 and 204.16

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Solution

The fourth proportional to 277.78, 383.28 and 204.16 is: 281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.78 : 383.28 = 204.16 : x
  2. Step 2: Convert to fraction form
    277.78/383.28 = 204.16/x
  3. Step 3: Cross multiply
    277.78x = 383.28 × 204.16
  4. Step 4: Simplify right side
    277.78x = 78,250.44
  5. Step 5: Solve for x
    x = 78,250.44/277.78
  6. Step 6: Final answer
    x = 281.70

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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.