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Finding the Fourth Proportional to 230.24, 319.64 and 223.55

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Solution

The fourth proportional to 230.24, 319.64 and 223.55 is: 310.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.24 : 319.64 = 223.55 : x
  2. Step 2: Convert to fraction form
    230.24/319.64 = 223.55/x
  3. Step 3: Cross multiply
    230.24x = 319.64 × 223.55
  4. Step 4: Simplify right side
    230.24x = 71,456.04
  5. Step 5: Solve for x
    x = 71,456.04/230.24
  6. Step 6: Final answer
    x = 310.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.