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Finding the Fourth Proportional to 180.96, 249.39 and 171.51

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Solution

The fourth proportional to 180.96, 249.39 and 171.51 is: 236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.96 : 249.39 = 171.51 : x
  2. Step 2: Convert to fraction form
    180.96/249.39 = 171.51/x
  3. Step 3: Cross multiply
    180.96x = 249.39 × 171.51
  4. Step 4: Simplify right side
    180.96x = 42,772.88
  5. Step 5: Solve for x
    x = 42,772.88/180.96
  6. Step 6: Final answer
    x = 236.37

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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.