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Finding the Fourth Proportional to 180.51, 249.09 and 131.31

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Solution

The fourth proportional to 180.51, 249.09 and 131.31 is: 181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.51 : 249.09 = 131.31 : x
  2. Step 2: Convert to fraction form
    180.51/249.09 = 131.31/x
  3. Step 3: Cross multiply
    180.51x = 249.09 × 131.31
  4. Step 4: Simplify right side
    180.51x = 32,708.01
  5. Step 5: Solve for x
    x = 32,708.01/180.51
  6. Step 6: Final answer
    x = 181.20

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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.