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Finding the Fourth Proportional to 280.97, 387.81 and 182.56

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Solution

The fourth proportional to 280.97, 387.81 and 182.56 is: 251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.97 : 387.81 = 182.56 : x
  2. Step 2: Convert to fraction form
    280.97/387.81 = 182.56/x
  3. Step 3: Cross multiply
    280.97x = 387.81 × 182.56
  4. Step 4: Simplify right side
    280.97x = 70,798.35
  5. Step 5: Solve for x
    x = 70,798.35/280.97
  6. Step 6: Final answer
    x = 251.97

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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.