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Finding the Fourth Proportional to 309.46, 464.04 and 126.78

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Solution

The fourth proportional to 309.46, 464.04 and 126.78 is: 190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.46 : 464.04 = 126.78 : x
  2. Step 2: Convert to fraction form
    309.46/464.04 = 126.78/x
  3. Step 3: Cross multiply
    309.46x = 464.04 × 126.78
  4. Step 4: Simplify right side
    309.46x = 58,830.99
  5. Step 5: Solve for x
    x = 58,830.99/309.46
  6. Step 6: Final answer
    x = 190.11

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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.