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Finding the Fourth Proportional to 220.91, 304.84 and 137.97

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Solution

The fourth proportional to 220.91, 304.84 and 137.97 is: 190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.91 : 304.84 = 137.97 : x
  2. Step 2: Convert to fraction form
    220.91/304.84 = 137.97/x
  3. Step 3: Cross multiply
    220.91x = 304.84 × 137.97
  4. Step 4: Simplify right side
    220.91x = 42,058.77
  5. Step 5: Solve for x
    x = 42,058.77/220.91
  6. Step 6: Final answer
    x = 190.39

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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.