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Finding the Fourth Proportional to 280.46, 387.12 and 182.30

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Solution

The fourth proportional to 280.46, 387.12 and 182.30 is: 251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.46 : 387.12 = 182.30 : x
  2. Step 2: Convert to fraction form
    280.46/387.12 = 182.30/x
  3. Step 3: Cross multiply
    280.46x = 387.12 × 182.30
  4. Step 4: Simplify right side
    280.46x = 70,571.98
  5. Step 5: Solve for x
    x = 70,571.98/280.46
  6. Step 6: Final answer
    x = 251.63

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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.