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Finding the Fourth Proportional to 165.35, 248.04 and 157.58

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Solution

The fourth proportional to 165.35, 248.04 and 157.58 is: 236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.35 : 248.04 = 157.58 : x
  2. Step 2: Convert to fraction form
    165.35/248.04 = 157.58/x
  3. Step 3: Cross multiply
    165.35x = 248.04 × 157.58
  4. Step 4: Simplify right side
    165.35x = 39,086.14
  5. Step 5: Solve for x
    x = 39,086.14/165.35
  6. Step 6: Final answer
    x = 236.38

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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.