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Finding the Fourth Proportional to 223.22, 334.46 and 169.04

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Solution

The fourth proportional to 223.22, 334.46 and 169.04 is: 253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.22 : 334.46 = 169.04 : x
  2. Step 2: Convert to fraction form
    223.22/334.46 = 169.04/x
  3. Step 3: Cross multiply
    223.22x = 334.46 × 169.04
  4. Step 4: Simplify right side
    223.22x = 56,537.12
  5. Step 5: Solve for x
    x = 56,537.12/223.22
  6. Step 6: Final answer
    x = 253.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.