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Finding the Fourth Proportional to 229.56, 344.20 and 92.67

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Solution

The fourth proportional to 229.56, 344.20 and 92.67 is: 138.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.56 : 344.20 = 92.67 : x
  2. Step 2: Convert to fraction form
    229.56/344.20 = 92.67/x
  3. Step 3: Cross multiply
    229.56x = 344.20 × 92.67
  4. Step 4: Simplify right side
    229.56x = 31,897.01
  5. Step 5: Solve for x
    x = 31,897.01/229.56
  6. Step 6: Final answer
    x = 138.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.