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Finding the Fourth Proportional to 165.92, 249.08 and 97.49

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Solution

The fourth proportional to 165.92, 249.08 and 97.49 is: 146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.92 : 249.08 = 97.49 : x
  2. Step 2: Convert to fraction form
    165.92/249.08 = 97.49/x
  3. Step 3: Cross multiply
    165.92x = 249.08 × 97.49
  4. Step 4: Simplify right side
    165.92x = 24,282.81
  5. Step 5: Solve for x
    x = 24,282.81/165.92
  6. Step 6: Final answer
    x = 146.35

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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.