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Finding the Fourth Proportional to 348.23, 480.46 and 206.42

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Solution

The fourth proportional to 348.23, 480.46 and 206.42 is: 284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.23 : 480.46 = 206.42 : x
  2. Step 2: Convert to fraction form
    348.23/480.46 = 206.42/x
  3. Step 3: Cross multiply
    348.23x = 480.46 × 206.42
  4. Step 4: Simplify right side
    348.23x = 99,176.55
  5. Step 5: Solve for x
    x = 99,176.55/348.23
  6. Step 6: Final answer
    x = 284.80

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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.