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Finding the Fourth Proportional to 311.22, 468.57 and 230.73

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Solution

The fourth proportional to 311.22, 468.57 and 230.73 is: 347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.22 : 468.57 = 230.73 : x
  2. Step 2: Convert to fraction form
    311.22/468.57 = 230.73/x
  3. Step 3: Cross multiply
    311.22x = 468.57 × 230.73
  4. Step 4: Simplify right side
    311.22x = 108,113.16
  5. Step 5: Solve for x
    x = 108,113.16/311.22
  6. Step 6: Final answer
    x = 347.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.