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Finding the Fourth Proportional to 221.54, 305.37 and 172.33

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Solution

The fourth proportional to 221.54, 305.37 and 172.33 is: 237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.54 : 305.37 = 172.33 : x
  2. Step 2: Convert to fraction form
    221.54/305.37 = 172.33/x
  3. Step 3: Cross multiply
    221.54x = 305.37 × 172.33
  4. Step 4: Simplify right side
    221.54x = 52,623.65
  5. Step 5: Solve for x
    x = 52,623.65/221.54
  6. Step 6: Final answer
    x = 237.54

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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.