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Finding the Fourth Proportional to 165.65, 248.44 and 69.37

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Solution

The fourth proportional to 165.65, 248.44 and 69.37 is: 104.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.65 : 248.44 = 69.37 : x
  2. Step 2: Convert to fraction form
    165.65/248.44 = 69.37/x
  3. Step 3: Cross multiply
    165.65x = 248.44 × 69.37
  4. Step 4: Simplify right side
    165.65x = 17,233.94
  5. Step 5: Solve for x
    x = 17,233.94/165.65
  6. Step 6: Final answer
    x = 104.04

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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.