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Finding the Fourth Proportional to 227.88, 341.85 and 106.16

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Solution

The fourth proportional to 227.88, 341.85 and 106.16 is: 159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.88 : 341.85 = 106.16 : x
  2. Step 2: Convert to fraction form
    227.88/341.85 = 106.16/x
  3. Step 3: Cross multiply
    227.88x = 341.85 × 106.16
  4. Step 4: Simplify right side
    227.88x = 36,289.09
  5. Step 5: Solve for x
    x = 36,289.09/227.88
  6. Step 6: Final answer
    x = 159.25

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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.