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Finding the Fourth Proportional to 232.12, 320.34 and 193.24

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Solution

The fourth proportional to 232.12, 320.34 and 193.24 is: 266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.12 : 320.34 = 193.24 : x
  2. Step 2: Convert to fraction form
    232.12/320.34 = 193.24/x
  3. Step 3: Cross multiply
    232.12x = 320.34 × 193.24
  4. Step 4: Simplify right side
    232.12x = 61,902.50
  5. Step 5: Solve for x
    x = 61,902.50/232.12
  6. Step 6: Final answer
    x = 266.68

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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.