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Finding the Fourth Proportional to 165.90, 249.14 and 157.69

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Solution

The fourth proportional to 165.90, 249.14 and 157.69 is: 236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.90 : 249.14 = 157.69 : x
  2. Step 2: Convert to fraction form
    165.90/249.14 = 157.69/x
  3. Step 3: Cross multiply
    165.90x = 249.14 × 157.69
  4. Step 4: Simplify right side
    165.90x = 39,286.89
  5. Step 5: Solve for x
    x = 39,286.89/165.90
  6. Step 6: Final answer
    x = 236.81

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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.