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Finding the Fourth Proportional to 227.92, 342.24 and 202.48

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Solution

The fourth proportional to 227.92, 342.24 and 202.48 is: 304.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.92 : 342.24 = 202.48 : x
  2. Step 2: Convert to fraction form
    227.92/342.24 = 202.48/x
  3. Step 3: Cross multiply
    227.92x = 342.24 × 202.48
  4. Step 4: Simplify right side
    227.92x = 69,296.76
  5. Step 5: Solve for x
    x = 69,296.76/227.92
  6. Step 6: Final answer
    x = 304.04

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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.