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Finding the Fourth Proportional to 221.74, 305.73 and 182.25

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Solution

The fourth proportional to 221.74, 305.73 and 182.25 is: 251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.74 : 305.73 = 182.25 : x
  2. Step 2: Convert to fraction form
    221.74/305.73 = 182.25/x
  3. Step 3: Cross multiply
    221.74x = 305.73 × 182.25
  4. Step 4: Simplify right side
    221.74x = 55,719.29
  5. Step 5: Solve for x
    x = 55,719.29/221.74
  6. Step 6: Final answer
    x = 251.28

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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.