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Finding the Fourth Proportional to 165.72, 249.96 and 145.68

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Solution

The fourth proportional to 165.72, 249.96 and 145.68 is: 219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.72 : 249.96 = 145.68 : x
  2. Step 2: Convert to fraction form
    165.72/249.96 = 145.68/x
  3. Step 3: Cross multiply
    165.72x = 249.96 × 145.68
  4. Step 4: Simplify right side
    165.72x = 36,414.17
  5. Step 5: Solve for x
    x = 36,414.17/165.72
  6. Step 6: Final answer
    x = 219.73

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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.