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Finding the Fourth Proportional to 185.38, 276.69 and 182.34

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Solution

The fourth proportional to 185.38, 276.69 and 182.34 is: 272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.38 : 276.69 = 182.34 : x
  2. Step 2: Convert to fraction form
    185.38/276.69 = 182.34/x
  3. Step 3: Cross multiply
    185.38x = 276.69 × 182.34
  4. Step 4: Simplify right side
    185.38x = 50,451.65
  5. Step 5: Solve for x
    x = 50,451.65/185.38
  6. Step 6: Final answer
    x = 272.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.