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Finding the Fourth Proportional to 276.63, 414.40 and 208.23

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Solution

The fourth proportional to 276.63, 414.40 and 208.23 is: 311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.63 : 414.40 = 208.23 : x
  2. Step 2: Convert to fraction form
    276.63/414.40 = 208.23/x
  3. Step 3: Cross multiply
    276.63x = 414.40 × 208.23
  4. Step 4: Simplify right side
    276.63x = 86,290.51
  5. Step 5: Solve for x
    x = 86,290.51/276.63
  6. Step 6: Final answer
    x = 311.93

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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.