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Finding the Fourth Proportional to 227.84, 341.92 and 106.24

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Solution

The fourth proportional to 227.84, 341.92 and 106.24 is: 159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.84 : 341.92 = 106.24 : x
  2. Step 2: Convert to fraction form
    227.84/341.92 = 106.24/x
  3. Step 3: Cross multiply
    227.84x = 341.92 × 106.24
  4. Step 4: Simplify right side
    227.84x = 36,325.58
  5. Step 5: Solve for x
    x = 36,325.58/227.84
  6. Step 6: Final answer
    x = 159.43

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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.