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Finding the Fourth Proportional to 181.50, 248.32 and 180.73

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Solution

The fourth proportional to 181.50, 248.32 and 180.73 is: 247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.50 : 248.32 = 180.73 : x
  2. Step 2: Convert to fraction form
    181.50/248.32 = 180.73/x
  3. Step 3: Cross multiply
    181.50x = 248.32 × 180.73
  4. Step 4: Simplify right side
    181.50x = 44,878.87
  5. Step 5: Solve for x
    x = 44,878.87/181.50
  6. Step 6: Final answer
    x = 247.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.