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Finding the Fourth Proportional to 221.74, 306.02 and 133.24

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Solution

The fourth proportional to 221.74, 306.02 and 133.24 is: 183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.74 : 306.02 = 133.24 : x
  2. Step 2: Convert to fraction form
    221.74/306.02 = 133.24/x
  3. Step 3: Cross multiply
    221.74x = 306.02 × 133.24
  4. Step 4: Simplify right side
    221.74x = 40,774.10
  5. Step 5: Solve for x
    x = 40,774.10/221.74
  6. Step 6: Final answer
    x = 183.88

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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.