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Finding the Fourth Proportional to 230.56, 344.06 and 205.92

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Solution

The fourth proportional to 230.56, 344.06 and 205.92 is: 307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.56 : 344.06 = 205.92 : x
  2. Step 2: Convert to fraction form
    230.56/344.06 = 205.92/x
  3. Step 3: Cross multiply
    230.56x = 344.06 × 205.92
  4. Step 4: Simplify right side
    230.56x = 70,847.81
  5. Step 5: Solve for x
    x = 70,847.81/230.56
  6. Step 6: Final answer
    x = 307.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.