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Finding the Fourth Proportional to 227.68, 341.54 and 159.23

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Solution

The fourth proportional to 227.68, 341.54 and 159.23 is: 238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.68 : 341.54 = 159.23 : x
  2. Step 2: Convert to fraction form
    227.68/341.54 = 159.23/x
  3. Step 3: Cross multiply
    227.68x = 341.54 × 159.23
  4. Step 4: Simplify right side
    227.68x = 54,383.41
  5. Step 5: Solve for x
    x = 54,383.41/227.68
  6. Step 6: Final answer
    x = 238.86

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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.