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Finding the Fourth Proportional to 234.24, 323.52 and 190.80

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Solution

The fourth proportional to 234.24, 323.52 and 190.80 is: 263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.24 : 323.52 = 190.80 : x
  2. Step 2: Convert to fraction form
    234.24/323.52 = 190.80/x
  3. Step 3: Cross multiply
    234.24x = 323.52 × 190.80
  4. Step 4: Simplify right side
    234.24x = 61,727.62
  5. Step 5: Solve for x
    x = 61,727.62/234.24
  6. Step 6: Final answer
    x = 263.52

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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.