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Finding the Fourth Proportional to 239.96, 331.15 and 135.05

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Solution

The fourth proportional to 239.96, 331.15 and 135.05 is: 186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.96 : 331.15 = 135.05 : x
  2. Step 2: Convert to fraction form
    239.96/331.15 = 135.05/x
  3. Step 3: Cross multiply
    239.96x = 331.15 × 135.05
  4. Step 4: Simplify right side
    239.96x = 44,720.15
  5. Step 5: Solve for x
    x = 44,720.15/239.96
  6. Step 6: Final answer
    x = 186.37

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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.