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Finding the Fourth Proportional to 229.54, 343.56 and 142.95

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Solution

The fourth proportional to 229.54, 343.56 and 142.95 is: 213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.54 : 343.56 = 142.95 : x
  2. Step 2: Convert to fraction form
    229.54/343.56 = 142.95/x
  3. Step 3: Cross multiply
    229.54x = 343.56 × 142.95
  4. Step 4: Simplify right side
    229.54x = 49,112.74
  5. Step 5: Solve for x
    x = 49,112.74/229.54
  6. Step 6: Final answer
    x = 213.96

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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.