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Finding the Fourth Proportional to 220.75, 304.57 and 137.94

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Solution

The fourth proportional to 220.75, 304.57 and 137.94 is: 190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.75 : 304.57 = 137.94 : x
  2. Step 2: Convert to fraction form
    220.75/304.57 = 137.94/x
  3. Step 3: Cross multiply
    220.75x = 304.57 × 137.94
  4. Step 4: Simplify right side
    220.75x = 42,011.62
  5. Step 5: Solve for x
    x = 42,011.62/220.75
  6. Step 6: Final answer
    x = 190.32

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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.