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Finding the Fourth Proportional to 318.85, 440.20 and 208.51

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Solution

The fourth proportional to 318.85, 440.20 and 208.51 is: 287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.85 : 440.20 = 208.51 : x
  2. Step 2: Convert to fraction form
    318.85/440.20 = 208.51/x
  3. Step 3: Cross multiply
    318.85x = 440.20 × 208.51
  4. Step 4: Simplify right side
    318.85x = 91,785.26
  5. Step 5: Solve for x
    x = 91,785.26/318.85
  6. Step 6: Final answer
    x = 287.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.