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Finding the Fourth Proportional to 309.56, 464.33 and 126.95

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Solution

The fourth proportional to 309.56, 464.33 and 126.95 is: 190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.56 : 464.33 = 126.95 : x
  2. Step 2: Convert to fraction form
    309.56/464.33 = 126.95/x
  3. Step 3: Cross multiply
    309.56x = 464.33 × 126.95
  4. Step 4: Simplify right side
    309.56x = 58,944.69
  5. Step 5: Solve for x
    x = 58,944.69/309.56
  6. Step 6: Final answer
    x = 190.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.