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Finding the Fourth Proportional to 227.68, 341.33 and 106.02

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Solution

The fourth proportional to 227.68, 341.33 and 106.02 is: 158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.68 : 341.33 = 106.02 : x
  2. Step 2: Convert to fraction form
    227.68/341.33 = 106.02/x
  3. Step 3: Cross multiply
    227.68x = 341.33 × 106.02
  4. Step 4: Simplify right side
    227.68x = 36,187.28
  5. Step 5: Solve for x
    x = 36,187.28/227.68
  6. Step 6: Final answer
    x = 158.94

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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.