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Finding the Fourth Proportional to 221.32, 305.43 and 123.07

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Solution

The fourth proportional to 221.32, 305.43 and 123.07 is: 169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.32 : 305.43 = 123.07 : x
  2. Step 2: Convert to fraction form
    221.32/305.43 = 123.07/x
  3. Step 3: Cross multiply
    221.32x = 305.43 × 123.07
  4. Step 4: Simplify right side
    221.32x = 37,589.27
  5. Step 5: Solve for x
    x = 37,589.27/221.32
  6. Step 6: Final answer
    x = 169.84

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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.