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Finding the Fourth Proportional to 220.09, 303.82 and 137.18

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Solution

The fourth proportional to 220.09, 303.82 and 137.18 is: 189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.09 : 303.82 = 137.18 : x
  2. Step 2: Convert to fraction form
    220.09/303.82 = 137.18/x
  3. Step 3: Cross multiply
    220.09x = 303.82 × 137.18
  4. Step 4: Simplify right side
    220.09x = 41,676.17
  5. Step 5: Solve for x
    x = 41,676.17/220.09
  6. Step 6: Final answer
    x = 189.36

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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.