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Finding the Fourth Proportional to 280.75, 421.17 and 107.49

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Solution

The fourth proportional to 280.75, 421.17 and 107.49 is: 161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.75 : 421.17 = 107.49 : x
  2. Step 2: Convert to fraction form
    280.75/421.17 = 107.49/x
  3. Step 3: Cross multiply
    280.75x = 421.17 × 107.49
  4. Step 4: Simplify right side
    280.75x = 45,271.56
  5. Step 5: Solve for x
    x = 45,271.56/280.75
  6. Step 6: Final answer
    x = 161.25

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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.