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Finding the Fourth Proportional to 318.46, 439.44 and 198.82

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Solution

The fourth proportional to 318.46, 439.44 and 198.82 is: 274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.46 : 439.44 = 198.82 : x
  2. Step 2: Convert to fraction form
    318.46/439.44 = 198.82/x
  3. Step 3: Cross multiply
    318.46x = 439.44 × 198.82
  4. Step 4: Simplify right side
    318.46x = 87,369.46
  5. Step 5: Solve for x
    x = 87,369.46/318.46
  6. Step 6: Final answer
    x = 274.35

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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.