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Finding the Fourth Proportional to 318.56, 439.76 and 208.20

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Solution

The fourth proportional to 318.56, 439.76 and 208.20 is: 287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.56 : 439.76 = 208.20 : x
  2. Step 2: Convert to fraction form
    318.56/439.76 = 208.20/x
  3. Step 3: Cross multiply
    318.56x = 439.76 × 208.20
  4. Step 4: Simplify right side
    318.56x = 91,558.03
  5. Step 5: Solve for x
    x = 91,558.03/318.56
  6. Step 6: Final answer
    x = 287.41

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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.