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Finding the Fourth Proportional to 165.93, 249.08 and 131.84

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Solution

The fourth proportional to 165.93, 249.08 and 131.84 is: 197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.93 : 249.08 = 131.84 : x
  2. Step 2: Convert to fraction form
    165.93/249.08 = 131.84/x
  3. Step 3: Cross multiply
    165.93x = 249.08 × 131.84
  4. Step 4: Simplify right side
    165.93x = 32,839.66
  5. Step 5: Solve for x
    x = 32,839.66/165.93
  6. Step 6: Final answer
    x = 197.91

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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.