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Finding the Fourth Proportional to 220.14, 303.27 and 182.66

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Solution

The fourth proportional to 220.14, 303.27 and 182.66 is: 251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.14 : 303.27 = 182.66 : x
  2. Step 2: Convert to fraction form
    220.14/303.27 = 182.66/x
  3. Step 3: Cross multiply
    220.14x = 303.27 × 182.66
  4. Step 4: Simplify right side
    220.14x = 55,395.30
  5. Step 5: Solve for x
    x = 55,395.30/220.14
  6. Step 6: Final answer
    x = 251.64

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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.