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Finding the Fourth Proportional to 165.68, 248.69 and 110.67

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Solution

The fourth proportional to 165.68, 248.69 and 110.67 is: 166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.68 : 248.69 = 110.67 : x
  2. Step 2: Convert to fraction form
    165.68/248.69 = 110.67/x
  3. Step 3: Cross multiply
    165.68x = 248.69 × 110.67
  4. Step 4: Simplify right side
    165.68x = 27,522.52
  5. Step 5: Solve for x
    x = 27,522.52/165.68
  6. Step 6: Final answer
    x = 166.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.