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Finding the Fourth Proportional to 220.68, 304.55 and 137.83

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Solution

The fourth proportional to 220.68, 304.55 and 137.83 is: 190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.68 : 304.55 = 137.83 : x
  2. Step 2: Convert to fraction form
    220.68/304.55 = 137.83/x
  3. Step 3: Cross multiply
    220.68x = 304.55 × 137.83
  4. Step 4: Simplify right side
    220.68x = 41,976.13
  5. Step 5: Solve for x
    x = 41,976.13/220.68
  6. Step 6: Final answer
    x = 190.21

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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.