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Finding the Fourth Proportional to 221.00, 304.96 and 122.75

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Solution

The fourth proportional to 221.00, 304.96 and 122.75 is: 169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.00 : 304.96 = 122.75 : x
  2. Step 2: Convert to fraction form
    221.00/304.96 = 122.75/x
  3. Step 3: Cross multiply
    221.00x = 304.96 × 122.75
  4. Step 4: Simplify right side
    221.00x = 37,432.01
  5. Step 5: Solve for x
    x = 37,432.01/221.00
  6. Step 6: Final answer
    x = 169.38

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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.