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Finding the Fourth Proportional to 226.25, 311.89 and 177.05

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Solution

The fourth proportional to 226.25, 311.89 and 177.05 is: 244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.25 : 311.89 = 177.05 : x
  2. Step 2: Convert to fraction form
    226.25/311.89 = 177.05/x
  3. Step 3: Cross multiply
    226.25x = 311.89 × 177.05
  4. Step 4: Simplify right side
    226.25x = 55,218.12
  5. Step 5: Solve for x
    x = 55,218.12/226.25
  6. Step 6: Final answer
    x = 244.06

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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.