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Finding the Fourth Proportional to 277.11, 414.99 and 204.21

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Solution

The fourth proportional to 277.11, 414.99 and 204.21 is: 305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.11 : 414.99 = 204.21 : x
  2. Step 2: Convert to fraction form
    277.11/414.99 = 204.21/x
  3. Step 3: Cross multiply
    277.11x = 414.99 × 204.21
  4. Step 4: Simplify right side
    277.11x = 84,745.11
  5. Step 5: Solve for x
    x = 84,745.11/277.11
  6. Step 6: Final answer
    x = 305.82

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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.