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Finding the Fourth Proportional to 180.56, 249.14 and 106.84

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Solution

The fourth proportional to 180.56, 249.14 and 106.84 is: 147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.56 : 249.14 = 106.84 : x
  2. Step 2: Convert to fraction form
    180.56/249.14 = 106.84/x
  3. Step 3: Cross multiply
    180.56x = 249.14 × 106.84
  4. Step 4: Simplify right side
    180.56x = 26,618.12
  5. Step 5: Solve for x
    x = 26,618.12/180.56
  6. Step 6: Final answer
    x = 147.42

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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.