Home / 232.24-320.26-197.23

Finding the Fourth Proportional to 232.24, 320.26 and 197.23

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Solution

The fourth proportional to 232.24, 320.26 and 197.23 is: 271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.24 : 320.26 = 197.23 : x
  2. Step 2: Convert to fraction form
    232.24/320.26 = 197.23/x
  3. Step 3: Cross multiply
    232.24x = 320.26 × 197.23
  4. Step 4: Simplify right side
    232.24x = 63,164.88
  5. Step 5: Solve for x
    x = 63,164.88/232.24
  6. Step 6: Final answer
    x = 271.98

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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.