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Finding the Fourth Proportional to 227.92, 340.16 and 222.45

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Solution

The fourth proportional to 227.92, 340.16 and 222.45 is: 332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.92 : 340.16 = 222.45 : x
  2. Step 2: Convert to fraction form
    227.92/340.16 = 222.45/x
  3. Step 3: Cross multiply
    227.92x = 340.16 × 222.45
  4. Step 4: Simplify right side
    227.92x = 75,668.59
  5. Step 5: Solve for x
    x = 75,668.59/227.92
  6. Step 6: Final answer
    x = 332.00

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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.