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Finding the Fourth Proportional to 165.76, 248.26 and 88.59

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Solution

The fourth proportional to 165.76, 248.26 and 88.59 is: 132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.76 : 248.26 = 88.59 : x
  2. Step 2: Convert to fraction form
    165.76/248.26 = 88.59/x
  3. Step 3: Cross multiply
    165.76x = 248.26 × 88.59
  4. Step 4: Simplify right side
    165.76x = 21,992.11
  5. Step 5: Solve for x
    x = 21,992.11/165.76
  6. Step 6: Final answer
    x = 132.68

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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.