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Finding the Fourth Proportional to 165.99, 249.20 and 97.57

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Solution

The fourth proportional to 165.99, 249.20 and 97.57 is: 146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.99 : 249.20 = 97.57 : x
  2. Step 2: Convert to fraction form
    165.99/249.20 = 97.57/x
  3. Step 3: Cross multiply
    165.99x = 249.20 × 97.57
  4. Step 4: Simplify right side
    165.99x = 24,314.44
  5. Step 5: Solve for x
    x = 24,314.44/165.99
  6. Step 6: Final answer
    x = 146.48

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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.