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Finding the Fourth Proportional to 180.86, 249.75 and 137.52

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Solution

The fourth proportional to 180.86, 249.75 and 137.52 is: 189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.86 : 249.75 = 137.52 : x
  2. Step 2: Convert to fraction form
    180.86/249.75 = 137.52/x
  3. Step 3: Cross multiply
    180.86x = 249.75 × 137.52
  4. Step 4: Simplify right side
    180.86x = 34,345.62
  5. Step 5: Solve for x
    x = 34,345.62/180.86
  6. Step 6: Final answer
    x = 189.91

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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.