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Finding the Fourth Proportional to 222.13, 306.55 and 138.09

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Solution

The fourth proportional to 222.13, 306.55 and 138.09 is: 190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.13 : 306.55 = 138.09 : x
  2. Step 2: Convert to fraction form
    222.13/306.55 = 138.09/x
  3. Step 3: Cross multiply
    222.13x = 306.55 × 138.09
  4. Step 4: Simplify right side
    222.13x = 42,331.49
  5. Step 5: Solve for x
    x = 42,331.49/222.13
  6. Step 6: Final answer
    x = 190.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.