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Finding the Fourth Proportional to 221.89, 305.77 and 172.69

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Solution

The fourth proportional to 221.89, 305.77 and 172.69 is: 237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.89 : 305.77 = 172.69 : x
  2. Step 2: Convert to fraction form
    221.89/305.77 = 172.69/x
  3. Step 3: Cross multiply
    221.89x = 305.77 × 172.69
  4. Step 4: Simplify right side
    221.89x = 52,803.42
  5. Step 5: Solve for x
    x = 52,803.42/221.89
  6. Step 6: Final answer
    x = 237.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.