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Finding the Fourth Proportional to 280.97, 421.54 and 126.83

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Solution

The fourth proportional to 280.97, 421.54 and 126.83 is: 190.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.97 : 421.54 = 126.83 : x
  2. Step 2: Convert to fraction form
    280.97/421.54 = 126.83/x
  3. Step 3: Cross multiply
    280.97x = 421.54 × 126.83
  4. Step 4: Simplify right side
    280.97x = 53,464.65
  5. Step 5: Solve for x
    x = 53,464.65/280.97
  6. Step 6: Final answer
    x = 190.29

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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.