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Finding the Fourth Proportional to 309.50, 427.12 and 193.14

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Solution

The fourth proportional to 309.50, 427.12 and 193.14 is: 266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.50 : 427.12 = 193.14 : x
  2. Step 2: Convert to fraction form
    309.50/427.12 = 193.14/x
  3. Step 3: Cross multiply
    309.50x = 427.12 × 193.14
  4. Step 4: Simplify right side
    309.50x = 82,493.96
  5. Step 5: Solve for x
    x = 82,493.96/309.50
  6. Step 6: Final answer
    x = 266.54

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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.