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Finding the Fourth Proportional to 229.76, 344.54 and 85.38

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Solution

The fourth proportional to 229.76, 344.54 and 85.38 is: 128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.76 : 344.54 = 85.38 : x
  2. Step 2: Convert to fraction form
    229.76/344.54 = 85.38/x
  3. Step 3: Cross multiply
    229.76x = 344.54 × 85.38
  4. Step 4: Simplify right side
    229.76x = 29,414.68
  5. Step 5: Solve for x
    x = 29,414.68/229.76
  6. Step 6: Final answer
    x = 128.02

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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.