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Finding the Fourth Proportional to 223.52, 308.05 and 165.20

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Solution

The fourth proportional to 223.52, 308.05 and 165.20 is: 227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.52 : 308.05 = 165.20 : x
  2. Step 2: Convert to fraction form
    223.52/308.05 = 165.20/x
  3. Step 3: Cross multiply
    223.52x = 308.05 × 165.20
  4. Step 4: Simplify right side
    223.52x = 50,887.91
  5. Step 5: Solve for x
    x = 50,887.91/223.52
  6. Step 6: Final answer
    x = 227.67

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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.