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Finding the Fourth Proportional to 226.56, 312.80 and 164.52

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Solution

The fourth proportional to 226.56, 312.80 and 164.52 is: 227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.56 : 312.80 = 164.52 : x
  2. Step 2: Convert to fraction form
    226.56/312.80 = 164.52/x
  3. Step 3: Cross multiply
    226.56x = 312.80 × 164.52
  4. Step 4: Simplify right side
    226.56x = 51,461.86
  5. Step 5: Solve for x
    x = 51,461.86/226.56
  6. Step 6: Final answer
    x = 227.14

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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.