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Finding the Fourth Proportional to 300.16, 414.24 and 208

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Solution

The fourth proportional to 300.16, 414.24 and 208 is: 287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.16 : 414.24 = 208 : x
  2. Step 2: Convert to fraction form
    300.16/414.24 = 208/x
  3. Step 3: Cross multiply
    300.16x = 414.24 × 208
  4. Step 4: Simplify right side
    300.16x = 86,161.92
  5. Step 5: Solve for x
    x = 86,161.92/300.16
  6. Step 6: Final answer
    x = 287.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.