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Finding the Fourth Proportional to 222.33, 306.57 and 160.47

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Solution

The fourth proportional to 222.33, 306.57 and 160.47 is: 221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.33 : 306.57 = 160.47 : x
  2. Step 2: Convert to fraction form
    222.33/306.57 = 160.47/x
  3. Step 3: Cross multiply
    222.33x = 306.57 × 160.47
  4. Step 4: Simplify right side
    222.33x = 49,195.29
  5. Step 5: Solve for x
    x = 49,195.29/222.33
  6. Step 6: Final answer
    x = 221.27

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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.