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Finding the Fourth Proportional to 309.46, 427.14 and 193

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Solution

The fourth proportional to 309.46, 427.14 and 193 is: 266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.46 : 427.14 = 193 : x
  2. Step 2: Convert to fraction form
    309.46/427.14 = 193/x
  3. Step 3: Cross multiply
    309.46x = 427.14 × 193
  4. Step 4: Simplify right side
    309.46x = 82,438.02
  5. Step 5: Solve for x
    x = 82,438.02/309.46
  6. Step 6: Final answer
    x = 266.39

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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.