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Finding the Fourth Proportional to 227.92, 343.44 and 188.24

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Solution

The fourth proportional to 227.92, 343.44 and 188.24 is: 283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.92 : 343.44 = 188.24 : x
  2. Step 2: Convert to fraction form
    227.92/343.44 = 188.24/x
  3. Step 3: Cross multiply
    227.92x = 343.44 × 188.24
  4. Step 4: Simplify right side
    227.92x = 64,649.15
  5. Step 5: Solve for x
    x = 64,649.15/227.92
  6. Step 6: Final answer
    x = 283.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.