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Finding the Fourth Proportional to 280.96, 387.93 and 182.68

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Solution

The fourth proportional to 280.96, 387.93 and 182.68 is: 252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.96 : 387.93 = 182.68 : x
  2. Step 2: Convert to fraction form
    280.96/387.93 = 182.68/x
  3. Step 3: Cross multiply
    280.96x = 387.93 × 182.68
  4. Step 4: Simplify right side
    280.96x = 70,867.05
  5. Step 5: Solve for x
    x = 70,867.05/280.96
  6. Step 6: Final answer
    x = 252.23

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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.