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Finding the Fourth Proportional to 348.26, 480.49 and 200.84

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Solution

The fourth proportional to 348.26, 480.49 and 200.84 is: 277.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.26 : 480.49 = 200.84 : x
  2. Step 2: Convert to fraction form
    348.26/480.49 = 200.84/x
  3. Step 3: Cross multiply
    348.26x = 480.49 × 200.84
  4. Step 4: Simplify right side
    348.26x = 96,498.71
  5. Step 5: Solve for x
    x = 96,498.71/348.26
  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.