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Finding the Fourth Proportional to 230.85, 319.02 and 206.24

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Solution

The fourth proportional to 230.85, 319.02 and 206.24 is: 285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.85 : 319.02 = 206.24 : x
  2. Step 2: Convert to fraction form
    230.85/319.02 = 206.24/x
  3. Step 3: Cross multiply
    230.85x = 319.02 × 206.24
  4. Step 4: Simplify right side
    230.85x = 65,794.68
  5. Step 5: Solve for x
    x = 65,794.68/230.85
  6. Step 6: Final answer
    x = 285.02

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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.