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Finding the Fourth Proportional to 165.75, 248.31 and 155.43

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Solution

The fourth proportional to 165.75, 248.31 and 155.43 is: 232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.75 : 248.31 = 155.43 : x
  2. Step 2: Convert to fraction form
    165.75/248.31 = 155.43/x
  3. Step 3: Cross multiply
    165.75x = 248.31 × 155.43
  4. Step 4: Simplify right side
    165.75x = 38,594.82
  5. Step 5: Solve for x
    x = 38,594.82/165.75
  6. Step 6: Final answer
    x = 232.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.