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Finding the Fourth Proportional to 348.06, 480.30 and 200.66

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Solution

The fourth proportional to 348.06, 480.30 and 200.66 is: 276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.06 : 480.30 = 200.66 : x
  2. Step 2: Convert to fraction form
    348.06/480.30 = 200.66/x
  3. Step 3: Cross multiply
    348.06x = 480.30 × 200.66
  4. Step 4: Simplify right side
    348.06x = 96,376.55
  5. Step 5: Solve for x
    x = 96,376.55/348.06
  6. Step 6: Final answer
    x = 276.89

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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.