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Finding the Fourth Proportional to 280.75, 387.43 and 182.68

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Solution

The fourth proportional to 280.75, 387.43 and 182.68 is: 252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.75 : 387.43 = 182.68 : x
  2. Step 2: Convert to fraction form
    280.75/387.43 = 182.68/x
  3. Step 3: Cross multiply
    280.75x = 387.43 × 182.68
  4. Step 4: Simplify right side
    280.75x = 70,773.78
  5. Step 5: Solve for x
    x = 70,773.78/280.75
  6. Step 6: Final answer
    x = 252.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.