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Finding the Fourth Proportional to 243.31, 336.16 and 169.95

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Solution

The fourth proportional to 243.31, 336.16 and 169.95 is: 234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.31 : 336.16 = 169.95 : x
  2. Step 2: Convert to fraction form
    243.31/336.16 = 169.95/x
  3. Step 3: Cross multiply
    243.31x = 336.16 × 169.95
  4. Step 4: Simplify right side
    243.31x = 57,130.39
  5. Step 5: Solve for x
    x = 57,130.39/243.31
  6. Step 6: Final answer
    x = 234.80

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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.