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Finding the Fourth Proportional to 180.27, 249.08 and 136.83

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Solution

The fourth proportional to 180.27, 249.08 and 136.83 is: 189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.27 : 249.08 = 136.83 : x
  2. Step 2: Convert to fraction form
    180.27/249.08 = 136.83/x
  3. Step 3: Cross multiply
    180.27x = 249.08 × 136.83
  4. Step 4: Simplify right side
    180.27x = 34,080.93
  5. Step 5: Solve for x
    x = 34,080.93/180.27
  6. Step 6: Final answer
    x = 189.05

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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.