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Finding the Fourth Proportional to 221.32, 305.41 and 123.08

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Solution

The fourth proportional to 221.32, 305.41 and 123.08 is: 169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.32 : 305.41 = 123.08 : x
  2. Step 2: Convert to fraction form
    221.32/305.41 = 123.08/x
  3. Step 3: Cross multiply
    221.32x = 305.41 × 123.08
  4. Step 4: Simplify right side
    221.32x = 37,589.25
  5. Step 5: Solve for x
    x = 37,589.25/221.32
  6. Step 6: Final answer
    x = 169.85

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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.