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Finding the Fourth Proportional to 221.90, 305.64 and 169.43

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Solution

The fourth proportional to 221.90, 305.64 and 169.43 is: 233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.90 : 305.64 = 169.43 : x
  2. Step 2: Convert to fraction form
    221.90/305.64 = 169.43/x
  3. Step 3: Cross multiply
    221.90x = 305.64 × 169.43
  4. Step 4: Simplify right side
    221.90x = 51,783.06
  5. Step 5: Solve for x
    x = 51,783.06/221.90
  6. Step 6: Final answer
    x = 233.37

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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.