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Finding the Fourth Proportional to 230.65, 346.25 and 213.64

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Solution

The fourth proportional to 230.65, 346.25 and 213.64 is: 320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.65 : 346.25 = 213.64 : x
  2. Step 2: Convert to fraction form
    230.65/346.25 = 213.64/x
  3. Step 3: Cross multiply
    230.65x = 346.25 × 213.64
  4. Step 4: Simplify right side
    230.65x = 73,972.85
  5. Step 5: Solve for x
    x = 73,972.85/230.65
  6. Step 6: Final answer
    x = 320.71

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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.