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Finding the Fourth Proportional to 165.70, 248.23 and 108.42

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Solution

The fourth proportional to 165.70, 248.23 and 108.42 is: 162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.70 : 248.23 = 108.42 : x
  2. Step 2: Convert to fraction form
    165.70/248.23 = 108.42/x
  3. Step 3: Cross multiply
    165.70x = 248.23 × 108.42
  4. Step 4: Simplify right side
    165.70x = 26,913.10
  5. Step 5: Solve for x
    x = 26,913.10/165.70
  6. Step 6: Final answer
    x = 162.42

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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.