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Finding the Fourth Proportional to 165.78, 248.71 and 69.60

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Solution

The fourth proportional to 165.78, 248.71 and 69.60 is: 104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 248.71 = 69.60 : x
  2. Step 2: Convert to fraction form
    165.78/248.71 = 69.60/x
  3. Step 3: Cross multiply
    165.78x = 248.71 × 69.60
  4. Step 4: Simplify right side
    165.78x = 17,310.22
  5. Step 5: Solve for x
    x = 17,310.22/165.78
  6. Step 6: Final answer
    x = 104.42

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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.