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Finding the Fourth Proportional to 221.26, 333.46 and 185.54

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Solution

The fourth proportional to 221.26, 333.46 and 185.54 is: 279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.26 : 333.46 = 185.54 : x
  2. Step 2: Convert to fraction form
    221.26/333.46 = 185.54/x
  3. Step 3: Cross multiply
    221.26x = 333.46 × 185.54
  4. Step 4: Simplify right side
    221.26x = 61,870.17
  5. Step 5: Solve for x
    x = 61,870.17/221.26
  6. Step 6: Final answer
    x = 279.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.