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Finding the Fourth Proportional to 180.92, 249.52 and 145.73

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Solution

The fourth proportional to 180.92, 249.52 and 145.73 is: 200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.92 : 249.52 = 145.73 : x
  2. Step 2: Convert to fraction form
    180.92/249.52 = 145.73/x
  3. Step 3: Cross multiply
    180.92x = 249.52 × 145.73
  4. Step 4: Simplify right side
    180.92x = 36,362.55
  5. Step 5: Solve for x
    x = 36,362.55/180.92
  6. Step 6: Final answer
    x = 200.99

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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.