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Finding the Fourth Proportional to 220.80, 304.78 and 137.96

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Solution

The fourth proportional to 220.80, 304.78 and 137.96 is: 190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.80 : 304.78 = 137.96 : x
  2. Step 2: Convert to fraction form
    220.80/304.78 = 137.96/x
  3. Step 3: Cross multiply
    220.80x = 304.78 × 137.96
  4. Step 4: Simplify right side
    220.80x = 42,047.45
  5. Step 5: Solve for x
    x = 42,047.45/220.80
  6. Step 6: Final answer
    x = 190.43

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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.