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Finding the Fourth Proportional to 180.56, 249.16 and 136.80

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Solution

The fourth proportional to 180.56, 249.16 and 136.80 is: 188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.56 : 249.16 = 136.80 : x
  2. Step 2: Convert to fraction form
    180.56/249.16 = 136.80/x
  3. Step 3: Cross multiply
    180.56x = 249.16 × 136.80
  4. Step 4: Simplify right side
    180.56x = 34,085.09
  5. Step 5: Solve for x
    x = 34,085.09/180.56
  6. Step 6: Final answer
    x = 188.77

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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.