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Finding the Fourth Proportional to 165.42, 248.37 and 157.68

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Solution

The fourth proportional to 165.42, 248.37 and 157.68 is: 236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 248.37 = 157.68 : x
  2. Step 2: Convert to fraction form
    165.42/248.37 = 157.68/x
  3. Step 3: Cross multiply
    165.42x = 248.37 × 157.68
  4. Step 4: Simplify right side
    165.42x = 39,162.98
  5. Step 5: Solve for x
    x = 39,162.98/165.42
  6. Step 6: Final answer
    x = 236.75

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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.