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Finding the Fourth Proportional to 276.64, 414.16 and 208.44

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Solution

The fourth proportional to 276.64, 414.16 and 208.44 is: 312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.64 : 414.16 = 208.44 : x
  2. Step 2: Convert to fraction form
    276.64/414.16 = 208.44/x
  3. Step 3: Cross multiply
    276.64x = 414.16 × 208.44
  4. Step 4: Simplify right side
    276.64x = 86,327.51
  5. Step 5: Solve for x
    x = 86,327.51/276.64
  6. Step 6: Final answer
    x = 312.06

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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.