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Finding the Fourth Proportional to 227.74, 341.80 and 106.16

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Solution

The fourth proportional to 227.74, 341.80 and 106.16 is: 159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.74 : 341.80 = 106.16 : x
  2. Step 2: Convert to fraction form
    227.74/341.80 = 106.16/x
  3. Step 3: Cross multiply
    227.74x = 341.80 × 106.16
  4. Step 4: Simplify right side
    227.74x = 36,285.49
  5. Step 5: Solve for x
    x = 36,285.49/227.74
  6. Step 6: Final answer
    x = 159.33

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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.