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Finding the Fourth Proportional to 280.33, 420.49 and 126.22

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Solution

The fourth proportional to 280.33, 420.49 and 126.22 is: 189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.33 : 420.49 = 126.22 : x
  2. Step 2: Convert to fraction form
    280.33/420.49 = 126.22/x
  3. Step 3: Cross multiply
    280.33x = 420.49 × 126.22
  4. Step 4: Simplify right side
    280.33x = 53,074.25
  5. Step 5: Solve for x
    x = 53,074.25/280.33
  6. Step 6: Final answer
    x = 189.33

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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.