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Finding the Fourth Proportional to 312.05, 430.68 and 205.67

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Solution

The fourth proportional to 312.05, 430.68 and 205.67 is: 283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.05 : 430.68 = 205.67 : x
  2. Step 2: Convert to fraction form
    312.05/430.68 = 205.67/x
  3. Step 3: Cross multiply
    312.05x = 430.68 × 205.67
  4. Step 4: Simplify right side
    312.05x = 88,579.80
  5. Step 5: Solve for x
    x = 88,579.80/312.05
  6. Step 6: Final answer
    x = 283.86

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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.