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Finding the Fourth Proportional to 221.23, 305.30 and 121.64

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Solution

The fourth proportional to 221.23, 305.30 and 121.64 is: 167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.23 : 305.30 = 121.64 : x
  2. Step 2: Convert to fraction form
    221.23/305.30 = 121.64/x
  3. Step 3: Cross multiply
    221.23x = 305.30 × 121.64
  4. Step 4: Simplify right side
    221.23x = 37,136.85
  5. Step 5: Solve for x
    x = 37,136.85/221.23
  6. Step 6: Final answer
    x = 167.87

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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.