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Finding the Fourth Proportional to 276.99, 414.56 and 208.34

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Solution

The fourth proportional to 276.99, 414.56 and 208.34 is: 311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.99 : 414.56 = 208.34 : x
  2. Step 2: Convert to fraction form
    276.99/414.56 = 208.34/x
  3. Step 3: Cross multiply
    276.99x = 414.56 × 208.34
  4. Step 4: Simplify right side
    276.99x = 86,370.99
  5. Step 5: Solve for x
    x = 86,370.99/276.99
  6. Step 6: Final answer
    x = 311.82

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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.