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Finding the Fourth Proportional to 309.56, 464.54 and 126.92

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Solution

The fourth proportional to 309.56, 464.54 and 126.92 is: 190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.56 : 464.54 = 126.92 : x
  2. Step 2: Convert to fraction form
    309.56/464.54 = 126.92/x
  3. Step 3: Cross multiply
    309.56x = 464.54 × 126.92
  4. Step 4: Simplify right side
    309.56x = 58,959.42
  5. Step 5: Solve for x
    x = 58,959.42/309.56
  6. Step 6: Final answer
    x = 190.46

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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.