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Finding the Fourth Proportional to 318.21, 477.37 and 109.97

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Solution

The fourth proportional to 318.21, 477.37 and 109.97 is: 164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.21 : 477.37 = 109.97 : x
  2. Step 2: Convert to fraction form
    318.21/477.37 = 109.97/x
  3. Step 3: Cross multiply
    318.21x = 477.37 × 109.97
  4. Step 4: Simplify right side
    318.21x = 52,493.44
  5. Step 5: Solve for x
    x = 52,493.44/318.21
  6. Step 6: Final answer
    x = 164.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.