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Finding the Fourth Proportional to 180.72, 249.29 and 109.80

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Solution

The fourth proportional to 180.72, 249.29 and 109.80 is: 151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.72 : 249.29 = 109.80 : x
  2. Step 2: Convert to fraction form
    180.72/249.29 = 109.80/x
  3. Step 3: Cross multiply
    180.72x = 249.29 × 109.80
  4. Step 4: Simplify right side
    180.72x = 27,371.49
  5. Step 5: Solve for x
    x = 27,371.49/180.72
  6. Step 6: Final answer
    x = 151.46

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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.