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Finding the Fourth Proportional to 213.67, 294.70 and 196.24

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Solution

The fourth proportional to 213.67, 294.70 and 196.24 is: 270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.67 : 294.70 = 196.24 : x
  2. Step 2: Convert to fraction form
    213.67/294.70 = 196.24/x
  3. Step 3: Cross multiply
    213.67x = 294.70 × 196.24
  4. Step 4: Simplify right side
    213.67x = 57,831.93
  5. Step 5: Solve for x
    x = 57,831.93/213.67
  6. Step 6: Final answer
    x = 270.66

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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.