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Finding the Fourth Proportional to 277.70, 416.10 and 204.80

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Solution

The fourth proportional to 277.70, 416.10 and 204.80 is: 306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.70 : 416.10 = 204.80 : x
  2. Step 2: Convert to fraction form
    277.70/416.10 = 204.80/x
  3. Step 3: Cross multiply
    277.70x = 416.10 × 204.80
  4. Step 4: Simplify right side
    277.70x = 85,217.28
  5. Step 5: Solve for x
    x = 85,217.28/277.70
  6. Step 6: Final answer
    x = 306.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.