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Finding the Fourth Proportional to 225.28, 311.28 and 181.54

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Solution

The fourth proportional to 225.28, 311.28 and 181.54 is: 250.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.28 : 311.28 = 181.54 : x
  2. Step 2: Convert to fraction form
    225.28/311.28 = 181.54/x
  3. Step 3: Cross multiply
    225.28x = 311.28 × 181.54
  4. Step 4: Simplify right side
    225.28x = 56,509.77
  5. Step 5: Solve for x
    x = 56,509.77/225.28
  6. Step 6: Final answer
    x = 250.84

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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.