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Finding the Fourth Proportional to 226.24, 312.06 and 160.78

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Solution

The fourth proportional to 226.24, 312.06 and 160.78 is: 221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.24 : 312.06 = 160.78 : x
  2. Step 2: Convert to fraction form
    226.24/312.06 = 160.78/x
  3. Step 3: Cross multiply
    226.24x = 312.06 × 160.78
  4. Step 4: Simplify right side
    226.24x = 50,173.01
  5. Step 5: Solve for x
    x = 50,173.01/226.24
  6. Step 6: Final answer
    x = 221.77

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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.