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Finding the Fourth Proportional to 221.07, 305.08 and 122.83

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Solution

The fourth proportional to 221.07, 305.08 and 122.83 is: 169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.07 : 305.08 = 122.83 : x
  2. Step 2: Convert to fraction form
    221.07/305.08 = 122.83/x
  3. Step 3: Cross multiply
    221.07x = 305.08 × 122.83
  4. Step 4: Simplify right side
    221.07x = 37,471.91
  5. Step 5: Solve for x
    x = 37,471.91/221.07
  6. Step 6: Final answer
    x = 169.50

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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.