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Finding the Fourth Proportional to 226.56, 312.75 and 177.63

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Solution

The fourth proportional to 226.56, 312.75 and 177.63 is: 245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.56 : 312.75 = 177.63 : x
  2. Step 2: Convert to fraction form
    226.56/312.75 = 177.63/x
  3. Step 3: Cross multiply
    226.56x = 312.75 × 177.63
  4. Step 4: Simplify right side
    226.56x = 55,553.78
  5. Step 5: Solve for x
    x = 55,553.78/226.56
  6. Step 6: Final answer
    x = 245.21

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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.