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Finding the Fourth Proportional to 221.12, 305.11 and 127.83

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Solution

The fourth proportional to 221.12, 305.11 and 127.83 is: 176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.12 : 305.11 = 127.83 : x
  2. Step 2: Convert to fraction form
    221.12/305.11 = 127.83/x
  3. Step 3: Cross multiply
    221.12x = 305.11 × 127.83
  4. Step 4: Simplify right side
    221.12x = 39,002.21
  5. Step 5: Solve for x
    x = 39,002.21/221.12
  6. Step 6: Final answer
    x = 176.38

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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.