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Finding the Fourth Proportional to 226.02, 311.92 and 127.78

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Solution

The fourth proportional to 226.02, 311.92 and 127.78 is: 176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.02 : 311.92 = 127.78 : x
  2. Step 2: Convert to fraction form
    226.02/311.92 = 127.78/x
  3. Step 3: Cross multiply
    226.02x = 311.92 × 127.78
  4. Step 4: Simplify right side
    226.02x = 39,856.04
  5. Step 5: Solve for x
    x = 39,856.04/226.02
  6. Step 6: Final answer
    x = 176.34

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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.