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Finding the Fourth Proportional to 180.99, 249.71 and 134.46

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Solution

The fourth proportional to 180.99, 249.71 and 134.46 is: 185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.99 : 249.71 = 134.46 : x
  2. Step 2: Convert to fraction form
    180.99/249.71 = 134.46/x
  3. Step 3: Cross multiply
    180.99x = 249.71 × 134.46
  4. Step 4: Simplify right side
    180.99x = 33,575.33
  5. Step 5: Solve for x
    x = 33,575.33/180.99
  6. Step 6: Final answer
    x = 185.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.