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Finding the Fourth Proportional to 221.15, 305.61 and 181.74

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Solution

The fourth proportional to 221.15, 305.61 and 181.74 is: 251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.15 : 305.61 = 181.74 : x
  2. Step 2: Convert to fraction form
    221.15/305.61 = 181.74/x
  3. Step 3: Cross multiply
    221.15x = 305.61 × 181.74
  4. Step 4: Simplify right side
    221.15x = 55,541.56
  5. Step 5: Solve for x
    x = 55,541.56/221.15
  6. Step 6: Final answer
    x = 251.15

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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.