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Finding the Fourth Proportional to 165.20, 223.20 and 165.20

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Solution

The fourth proportional to 165.20, 223.20 and 165.20 is: 223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.20 : 223.20 = 165.20 : x
  2. Step 2: Convert to fraction form
    165.20/223.20 = 165.20/x
  3. Step 3: Cross multiply
    165.20x = 223.20 × 165.20
  4. Step 4: Simplify right side
    165.20x = 36,872.64
  5. Step 5: Solve for x
    x = 36,872.64/165.20
  6. Step 6: Final answer
    x = 223.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.