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Finding the Fourth Proportional to 165.11, 247.76 and 110.31

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Solution

The fourth proportional to 165.11, 247.76 and 110.31 is: 165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.11 : 247.76 = 110.31 : x
  2. Step 2: Convert to fraction form
    165.11/247.76 = 110.31/x
  3. Step 3: Cross multiply
    165.11x = 247.76 × 110.31
  4. Step 4: Simplify right side
    165.11x = 27,329.23
  5. Step 5: Solve for x
    x = 27,329.23/165.11
  6. Step 6: Final answer
    x = 165.52

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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.