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Finding the Fourth Proportional to 222.20, 306.67 and 160.23

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Solution

The fourth proportional to 222.20, 306.67 and 160.23 is: 221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.20 : 306.67 = 160.23 : x
  2. Step 2: Convert to fraction form
    222.20/306.67 = 160.23/x
  3. Step 3: Cross multiply
    222.20x = 306.67 × 160.23
  4. Step 4: Simplify right side
    222.20x = 49,136.93
  5. Step 5: Solve for x
    x = 49,136.93/222.20
  6. Step 6: Final answer
    x = 221.14

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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.