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Finding the Fourth Proportional to 223.56, 308.34 and 165.24

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Solution

The fourth proportional to 223.56, 308.34 and 165.24 is: 227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.56 : 308.34 = 165.24 : x
  2. Step 2: Convert to fraction form
    223.56/308.34 = 165.24/x
  3. Step 3: Cross multiply
    223.56x = 308.34 × 165.24
  4. Step 4: Simplify right side
    223.56x = 50,950.10
  5. Step 5: Solve for x
    x = 50,950.10/223.56
  6. Step 6: Final answer
    x = 227.90

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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.