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Finding the Fourth Proportional to 280.67, 421.25 and 136.49

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Solution

The fourth proportional to 280.67, 421.25 and 136.49 is: 204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.67 : 421.25 = 136.49 : x
  2. Step 2: Convert to fraction form
    280.67/421.25 = 136.49/x
  3. Step 3: Cross multiply
    280.67x = 421.25 × 136.49
  4. Step 4: Simplify right side
    280.67x = 57,493.62
  5. Step 5: Solve for x
    x = 57,493.62/280.67
  6. Step 6: Final answer
    x = 204.85

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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.