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Finding the Fourth Proportional to 225.73, 311.14 and 181.32

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Solution

The fourth proportional to 225.73, 311.14 and 181.32 is: 249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.73 : 311.14 = 181.32 : x
  2. Step 2: Convert to fraction form
    225.73/311.14 = 181.32/x
  3. Step 3: Cross multiply
    225.73x = 311.14 × 181.32
  4. Step 4: Simplify right side
    225.73x = 56,415.90
  5. Step 5: Solve for x
    x = 56,415.90/225.73
  6. Step 6: Final answer
    x = 249.93

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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.