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Finding the Fourth Proportional to 222.57, 306.92 and 135.23

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Solution

The fourth proportional to 222.57, 306.92 and 135.23 is: 186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.57 : 306.92 = 135.23 : x
  2. Step 2: Convert to fraction form
    222.57/306.92 = 135.23/x
  3. Step 3: Cross multiply
    222.57x = 306.92 × 135.23
  4. Step 4: Simplify right side
    222.57x = 41,503.60
  5. Step 5: Solve for x
    x = 41,503.60/222.57
  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.