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Finding the Fourth Proportional to 318.88, 440.22 and 208.30

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Solution

The fourth proportional to 318.88, 440.22 and 208.30 is: 287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.88 : 440.22 = 208.30 : x
  2. Step 2: Convert to fraction form
    318.88/440.22 = 208.30/x
  3. Step 3: Cross multiply
    318.88x = 440.22 × 208.30
  4. Step 4: Simplify right side
    318.88x = 91,697.83
  5. Step 5: Solve for x
    x = 91,697.83/318.88
  6. Step 6: Final answer
    x = 287.56

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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.