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Finding the Fourth Proportional to 227.85, 314.12 and 171.02

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Solution

The fourth proportional to 227.85, 314.12 and 171.02 is: 235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.85 : 314.12 = 171.02 : x
  2. Step 2: Convert to fraction form
    227.85/314.12 = 171.02/x
  3. Step 3: Cross multiply
    227.85x = 314.12 × 171.02
  4. Step 4: Simplify right side
    227.85x = 53,722.02
  5. Step 5: Solve for x
    x = 53,722.02/227.85
  6. Step 6: Final answer
    x = 235.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.