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Finding the Fourth Proportional to 309.83, 427.41 and 193.31

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Solution

The fourth proportional to 309.83, 427.41 and 193.31 is: 266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.83 : 427.41 = 193.31 : x
  2. Step 2: Convert to fraction form
    309.83/427.41 = 193.31/x
  3. Step 3: Cross multiply
    309.83x = 427.41 × 193.31
  4. Step 4: Simplify right side
    309.83x = 82,622.63
  5. Step 5: Solve for x
    x = 82,622.63/309.83
  6. Step 6: Final answer
    x = 266.67

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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.