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Finding the Fourth Proportional to 165.26, 248.73 and 145.41

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Solution

The fourth proportional to 165.26, 248.73 and 145.41 is: 218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.26 : 248.73 = 145.41 : x
  2. Step 2: Convert to fraction form
    165.26/248.73 = 145.41/x
  3. Step 3: Cross multiply
    165.26x = 248.73 × 145.41
  4. Step 4: Simplify right side
    165.26x = 36,167.83
  5. Step 5: Solve for x
    x = 36,167.83/165.26
  6. Step 6: Final answer
    x = 218.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.