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Finding the Fourth Proportional to 226.40, 311.58 and 201.56

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Solution

The fourth proportional to 226.40, 311.58 and 201.56 is: 277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.40 : 311.58 = 201.56 : x
  2. Step 2: Convert to fraction form
    226.40/311.58 = 201.56/x
  3. Step 3: Cross multiply
    226.40x = 311.58 × 201.56
  4. Step 4: Simplify right side
    226.40x = 62,802.06
  5. Step 5: Solve for x
    x = 62,802.06/226.40
  6. Step 6: Final answer
    x = 277.39

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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.