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Finding the Fourth Proportional to 241.30, 363.57 and 208.90

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Solution

The fourth proportional to 241.30, 363.57 and 208.90 is: 314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.30 : 363.57 = 208.90 : x
  2. Step 2: Convert to fraction form
    241.30/363.57 = 208.90/x
  3. Step 3: Cross multiply
    241.30x = 363.57 × 208.90
  4. Step 4: Simplify right side
    241.30x = 75,948.73
  5. Step 5: Solve for x
    x = 75,948.73/241.30
  6. Step 6: Final answer
    x = 314.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.