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Finding the Fourth Proportional to 243.71, 336.15 and 170.27

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Solution

The fourth proportional to 243.71, 336.15 and 170.27 is: 234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.71 : 336.15 = 170.27 : x
  2. Step 2: Convert to fraction form
    243.71/336.15 = 170.27/x
  3. Step 3: Cross multiply
    243.71x = 336.15 × 170.27
  4. Step 4: Simplify right side
    243.71x = 57,236.26
  5. Step 5: Solve for x
    x = 57,236.26/243.71
  6. Step 6: Final answer
    x = 234.85

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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.