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Finding the Fourth Proportional to 348.03, 480.23 and 208.12

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Solution

The fourth proportional to 348.03, 480.23 and 208.12 is: 287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.03 : 480.23 = 208.12 : x
  2. Step 2: Convert to fraction form
    348.03/480.23 = 208.12/x
  3. Step 3: Cross multiply
    348.03x = 480.23 × 208.12
  4. Step 4: Simplify right side
    348.03x = 99,944.91
  5. Step 5: Solve for x
    x = 99,944.91/348.03
  6. Step 6: Final answer
    x = 287.17

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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.