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Finding the Fourth Proportional to 348.14, 480.41 and 200.77

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Solution

The fourth proportional to 348.14, 480.41 and 200.77 is: 277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.14 : 480.41 = 200.77 : x
  2. Step 2: Convert to fraction form
    348.14/480.41 = 200.77/x
  3. Step 3: Cross multiply
    348.14x = 480.41 × 200.77
  4. Step 4: Simplify right side
    348.14x = 96,449.22
  5. Step 5: Solve for x
    x = 96,449.22/348.14
  6. Step 6: Final answer
    x = 277.05

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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.