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Finding the Fourth Proportional to 220.27, 303.91 and 131.77

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Solution

The fourth proportional to 220.27, 303.91 and 131.77 is: 181.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.27 : 303.91 = 131.77 : x
  2. Step 2: Convert to fraction form
    220.27/303.91 = 131.77/x
  3. Step 3: Cross multiply
    220.27x = 303.91 × 131.77
  4. Step 4: Simplify right side
    220.27x = 40,046.22
  5. Step 5: Solve for x
    x = 40,046.22/220.27
  6. Step 6: Final answer
    x = 181.81

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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.