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Finding the Fourth Proportional to 165.90, 249.29 and 88.92

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Solution

The fourth proportional to 165.90, 249.29 and 88.92 is: 133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.90 : 249.29 = 88.92 : x
  2. Step 2: Convert to fraction form
    165.90/249.29 = 88.92/x
  3. Step 3: Cross multiply
    165.90x = 249.29 × 88.92
  4. Step 4: Simplify right side
    165.90x = 22,166.87
  5. Step 5: Solve for x
    x = 22,166.87/165.90
  6. Step 6: Final answer
    x = 133.62

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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.