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Finding the Fourth Proportional to 165.66, 248.55 and 135.12

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Solution

The fourth proportional to 165.66, 248.55 and 135.12 is: 202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.66 : 248.55 = 135.12 : x
  2. Step 2: Convert to fraction form
    165.66/248.55 = 135.12/x
  3. Step 3: Cross multiply
    165.66x = 248.55 × 135.12
  4. Step 4: Simplify right side
    165.66x = 33,584.08
  5. Step 5: Solve for x
    x = 33,584.08/165.66
  6. Step 6: Final answer
    x = 202.73

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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.