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Finding the Fourth Proportional to 221.08, 305.12 and 127.82

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Solution

The fourth proportional to 221.08, 305.12 and 127.82 is: 176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.08 : 305.12 = 127.82 : x
  2. Step 2: Convert to fraction form
    221.08/305.12 = 127.82/x
  3. Step 3: Cross multiply
    221.08x = 305.12 × 127.82
  4. Step 4: Simplify right side
    221.08x = 39,000.44
  5. Step 5: Solve for x
    x = 39,000.44/221.08
  6. Step 6: Final answer
    x = 176.41

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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.