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Finding the Fourth Proportional to 222.27, 306.76 and 159.22

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Solution

The fourth proportional to 222.27, 306.76 and 159.22 is: 219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.27 : 306.76 = 159.22 : x
  2. Step 2: Convert to fraction form
    222.27/306.76 = 159.22/x
  3. Step 3: Cross multiply
    222.27x = 306.76 × 159.22
  4. Step 4: Simplify right side
    222.27x = 48,841.33
  5. Step 5: Solve for x
    x = 48,841.33/222.27
  6. Step 6: Final answer
    x = 219.74

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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.