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Finding the Fourth Proportional to 230.90, 323.80 and 230.90

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Solution

The fourth proportional to 230.90, 323.80 and 230.90 is: 323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.90 : 323.80 = 230.90 : x
  2. Step 2: Convert to fraction form
    230.90/323.80 = 230.90/x
  3. Step 3: Cross multiply
    230.90x = 323.80 × 230.90
  4. Step 4: Simplify right side
    230.90x = 74,765.42
  5. Step 5: Solve for x
    x = 74,765.42/230.90
  6. Step 6: Final answer
    x = 323.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.