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Finding the Fourth Proportional to 220.69, 304.23 and 137.76

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Solution

The fourth proportional to 220.69, 304.23 and 137.76 is: 189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.69 : 304.23 = 137.76 : x
  2. Step 2: Convert to fraction form
    220.69/304.23 = 137.76/x
  3. Step 3: Cross multiply
    220.69x = 304.23 × 137.76
  4. Step 4: Simplify right side
    220.69x = 41,910.72
  5. Step 5: Solve for x
    x = 41,910.72/220.69
  6. Step 6: Final answer
    x = 189.91

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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.