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Finding the Fourth Proportional to 165.95, 248.72 and 92.82

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Solution

The fourth proportional to 165.95, 248.72 and 92.82 is: 139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.95 : 248.72 = 92.82 : x
  2. Step 2: Convert to fraction form
    165.95/248.72 = 92.82/x
  3. Step 3: Cross multiply
    165.95x = 248.72 × 92.82
  4. Step 4: Simplify right side
    165.95x = 23,086.66
  5. Step 5: Solve for x
    x = 23,086.66/165.95
  6. Step 6: Final answer
    x = 139.12

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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.