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Finding the Fourth Proportional to 180.38, 249.94 and 178.04

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Solution

The fourth proportional to 180.38, 249.94 and 178.04 is: 246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.38 : 249.94 = 178.04 : x
  2. Step 2: Convert to fraction form
    180.38/249.94 = 178.04/x
  3. Step 3: Cross multiply
    180.38x = 249.94 × 178.04
  4. Step 4: Simplify right side
    180.38x = 44,498.43
  5. Step 5: Solve for x
    x = 44,498.43/180.38
  6. Step 6: Final answer
    x = 246.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.