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Finding the Fourth Proportional to 213.88, 318.94 and 197.05

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Solution

The fourth proportional to 213.88, 318.94 and 197.05 is: 293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.88 : 318.94 = 197.05 : x
  2. Step 2: Convert to fraction form
    213.88/318.94 = 197.05/x
  3. Step 3: Cross multiply
    213.88x = 318.94 × 197.05
  4. Step 4: Simplify right side
    213.88x = 62,847.13
  5. Step 5: Solve for x
    x = 62,847.13/213.88
  6. Step 6: Final answer
    x = 293.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.