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Finding the Fourth Proportional to 264.97, 396.97 and 182.71

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Solution

The fourth proportional to 264.97, 396.97 and 182.71 is: 273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.97 : 396.97 = 182.71 : x
  2. Step 2: Convert to fraction form
    264.97/396.97 = 182.71/x
  3. Step 3: Cross multiply
    264.97x = 396.97 × 182.71
  4. Step 4: Simplify right side
    264.97x = 72,528.20
  5. Step 5: Solve for x
    x = 72,528.20/264.97
  6. Step 6: Final answer
    x = 273.72

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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.