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Finding the Fourth Proportional to 277.75, 414.57 and 208.95

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Solution

The fourth proportional to 277.75, 414.57 and 208.95 is: 311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.75 : 414.57 = 208.95 : x
  2. Step 2: Convert to fraction form
    277.75/414.57 = 208.95/x
  3. Step 3: Cross multiply
    277.75x = 414.57 × 208.95
  4. Step 4: Simplify right side
    277.75x = 86,624.40
  5. Step 5: Solve for x
    x = 86,624.40/277.75
  6. Step 6: Final answer
    x = 311.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.