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Finding the Fourth Proportional to 229.38, 342.30 and 227.94

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Solution

The fourth proportional to 229.38, 342.30 and 227.94 is: 340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.38 : 342.30 = 227.94 : x
  2. Step 2: Convert to fraction form
    229.38/342.30 = 227.94/x
  3. Step 3: Cross multiply
    229.38x = 342.30 × 227.94
  4. Step 4: Simplify right side
    229.38x = 78,023.86
  5. Step 5: Solve for x
    x = 78,023.86/229.38
  6. Step 6: Final answer
    x = 340.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.