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Finding the Fourth Proportional to 180.73, 249.37 and 110.77

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Solution

The fourth proportional to 180.73, 249.37 and 110.77 is: 152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.73 : 249.37 = 110.77 : x
  2. Step 2: Convert to fraction form
    180.73/249.37 = 110.77/x
  3. Step 3: Cross multiply
    180.73x = 249.37 × 110.77
  4. Step 4: Simplify right side
    180.73x = 27,622.71
  5. Step 5: Solve for x
    x = 27,622.71/180.73
  6. Step 6: Final answer
    x = 152.84

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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.