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Finding the Fourth Proportional to 160.75, 241.31 and 135.39

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Solution

The fourth proportional to 160.75, 241.31 and 135.39 is: 203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.75 : 241.31 = 135.39 : x
  2. Step 2: Convert to fraction form
    160.75/241.31 = 135.39/x
  3. Step 3: Cross multiply
    160.75x = 241.31 × 135.39
  4. Step 4: Simplify right side
    160.75x = 32,671.30
  5. Step 5: Solve for x
    x = 32,671.30/160.75
  6. Step 6: Final answer
    x = 203.25

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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.