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Finding the Fourth Proportional to 230.23, 344.94 and 205.12

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Solution

The fourth proportional to 230.23, 344.94 and 205.12 is: 307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.23 : 344.94 = 205.12 : x
  2. Step 2: Convert to fraction form
    230.23/344.94 = 205.12/x
  3. Step 3: Cross multiply
    230.23x = 344.94 × 205.12
  4. Step 4: Simplify right side
    230.23x = 70,754.09
  5. Step 5: Solve for x
    x = 70,754.09/230.23
  6. Step 6: Final answer
    x = 307.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.