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Finding the Fourth Proportional to 180.83, 249.41 and 115.27

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Solution

The fourth proportional to 180.83, 249.41 and 115.27 is: 158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.83 : 249.41 = 115.27 : x
  2. Step 2: Convert to fraction form
    180.83/249.41 = 115.27/x
  3. Step 3: Cross multiply
    180.83x = 249.41 × 115.27
  4. Step 4: Simplify right side
    180.83x = 28,748.91
  5. Step 5: Solve for x
    x = 28,748.91/180.83
  6. Step 6: Final answer
    x = 158.99

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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.