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Finding the Fourth Proportional to 221.50, 305.85 and 172.63

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Solution

The fourth proportional to 221.50, 305.85 and 172.63 is: 238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.50 : 305.85 = 172.63 : x
  2. Step 2: Convert to fraction form
    221.50/305.85 = 172.63/x
  3. Step 3: Cross multiply
    221.50x = 305.85 × 172.63
  4. Step 4: Simplify right side
    221.50x = 52,798.89
  5. Step 5: Solve for x
    x = 52,798.89/221.50
  6. Step 6: Final answer
    x = 238.37

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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.