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Finding the Fourth Proportional to 220.05, 303.53 and 137.09

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Solution

The fourth proportional to 220.05, 303.53 and 137.09 is: 189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.05 : 303.53 = 137.09 : x
  2. Step 2: Convert to fraction form
    220.05/303.53 = 137.09/x
  3. Step 3: Cross multiply
    220.05x = 303.53 × 137.09
  4. Step 4: Simplify right side
    220.05x = 41,609.41
  5. Step 5: Solve for x
    x = 41,609.41/220.05
  6. Step 6: Final answer
    x = 189.10

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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.