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Finding the Fourth Proportional to 180.85, 249.59 and 134.28

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Solution

The fourth proportional to 180.85, 249.59 and 134.28 is: 185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.85 : 249.59 = 134.28 : x
  2. Step 2: Convert to fraction form
    180.85/249.59 = 134.28/x
  3. Step 3: Cross multiply
    180.85x = 249.59 × 134.28
  4. Step 4: Simplify right side
    180.85x = 33,514.95
  5. Step 5: Solve for x
    x = 33,514.95/180.85
  6. Step 6: Final answer
    x = 185.32

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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.