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Finding the Fourth Proportional to 180.32, 249.05 and 131.41

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Solution

The fourth proportional to 180.32, 249.05 and 131.41 is: 181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.32 : 249.05 = 131.41 : x
  2. Step 2: Convert to fraction form
    180.32/249.05 = 131.41/x
  3. Step 3: Cross multiply
    180.32x = 249.05 × 131.41
  4. Step 4: Simplify right side
    180.32x = 32,727.56
  5. Step 5: Solve for x
    x = 32,727.56/180.32
  6. Step 6: Final answer
    x = 181.50

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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.