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Finding the Fourth Proportional to 348.17, 480.30 and 200.71

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Solution

The fourth proportional to 348.17, 480.30 and 200.71 is: 276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.17 : 480.30 = 200.71 : x
  2. Step 2: Convert to fraction form
    348.17/480.30 = 200.71/x
  3. Step 3: Cross multiply
    348.17x = 480.30 × 200.71
  4. Step 4: Simplify right side
    348.17x = 96,400.86
  5. Step 5: Solve for x
    x = 96,400.86/348.17
  6. Step 6: Final answer
    x = 276.88

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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.