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Finding the Fourth Proportional to 223.38, 334.92 and 168.50

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Solution

The fourth proportional to 223.38, 334.92 and 168.50 is: 252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.38 : 334.92 = 168.50 : x
  2. Step 2: Convert to fraction form
    223.38/334.92 = 168.50/x
  3. Step 3: Cross multiply
    223.38x = 334.92 × 168.50
  4. Step 4: Simplify right side
    223.38x = 56,434.02
  5. Step 5: Solve for x
    x = 56,434.02/223.38
  6. Step 6: Final answer
    x = 252.64

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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.