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Finding the Fourth Proportional to 221.74, 306.00 and 123.49

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Solution

The fourth proportional to 221.74, 306.00 and 123.49 is: 170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.74 : 306.00 = 123.49 : x
  2. Step 2: Convert to fraction form
    221.74/306.00 = 123.49/x
  3. Step 3: Cross multiply
    221.74x = 306.00 × 123.49
  4. Step 4: Simplify right side
    221.74x = 37,787.48
  5. Step 5: Solve for x
    x = 37,787.48/221.74
  6. Step 6: Final answer
    x = 170.42

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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.