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Finding the Fourth Proportional to 180.44, 249.00 and 106.76

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Solution

The fourth proportional to 180.44, 249.00 and 106.76 is: 147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.44 : 249.00 = 106.76 : x
  2. Step 2: Convert to fraction form
    180.44/249.00 = 106.76/x
  3. Step 3: Cross multiply
    180.44x = 249.00 × 106.76
  4. Step 4: Simplify right side
    180.44x = 26,581.59
  5. Step 5: Solve for x
    x = 26,581.59/180.44
  6. Step 6: Final answer
    x = 147.32

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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.