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Finding the Fourth Proportional to 300.48, 414.54 and 200.85

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Solution

The fourth proportional to 300.48, 414.54 and 200.85 is: 277.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.48 : 414.54 = 200.85 : x
  2. Step 2: Convert to fraction form
    300.48/414.54 = 200.85/x
  3. Step 3: Cross multiply
    300.48x = 414.54 × 200.85
  4. Step 4: Simplify right side
    300.48x = 83,260.36
  5. Step 5: Solve for x
    x = 83,260.36/300.48
  6. Step 6: Final answer
    x = 277.09

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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.