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Finding the Fourth Proportional to 293.24, 440.13 and 197.12

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Solution

The fourth proportional to 293.24, 440.13 and 197.12 is: 295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.24 : 440.13 = 197.12 : x
  2. Step 2: Convert to fraction form
    293.24/440.13 = 197.12/x
  3. Step 3: Cross multiply
    293.24x = 440.13 × 197.12
  4. Step 4: Simplify right side
    293.24x = 86,758.43
  5. Step 5: Solve for x
    x = 86,758.43/293.24
  6. Step 6: Final answer
    x = 295.86

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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.