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Finding the Fourth Proportional to 348.10, 480.33 and 200.71

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Solution

The fourth proportional to 348.10, 480.33 and 200.71 is: 276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.10 : 480.33 = 200.71 : x
  2. Step 2: Convert to fraction form
    348.10/480.33 = 200.71/x
  3. Step 3: Cross multiply
    348.10x = 480.33 × 200.71
  4. Step 4: Simplify right side
    348.10x = 96,407.63
  5. Step 5: Solve for x
    x = 96,407.63/348.10
  6. Step 6: Final answer
    x = 276.96

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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.