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Finding the Fourth Proportional to 348.02, 480.13 and 208.14

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Solution

The fourth proportional to 348.02, 480.13 and 208.14 is: 287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.02 : 480.13 = 208.14 : x
  2. Step 2: Convert to fraction form
    348.02/480.13 = 208.14/x
  3. Step 3: Cross multiply
    348.02x = 480.13 × 208.14
  4. Step 4: Simplify right side
    348.02x = 99,934.26
  5. Step 5: Solve for x
    x = 99,934.26/348.02
  6. Step 6: Final answer
    x = 287.15

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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.