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Finding the Fourth Proportional to 222.39, 306.97 and 135.09

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Solution

The fourth proportional to 222.39, 306.97 and 135.09 is: 186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.39 : 306.97 = 135.09 : x
  2. Step 2: Convert to fraction form
    222.39/306.97 = 135.09/x
  3. Step 3: Cross multiply
    222.39x = 306.97 × 135.09
  4. Step 4: Simplify right side
    222.39x = 41,468.24
  5. Step 5: Solve for x
    x = 41,468.24/222.39
  6. Step 6: Final answer
    x = 186.47

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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.