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Finding the Fourth Proportional to 165.24, 247.70 and 131.09

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Solution

The fourth proportional to 165.24, 247.70 and 131.09 is: 196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.24 : 247.70 = 131.09 : x
  2. Step 2: Convert to fraction form
    165.24/247.70 = 131.09/x
  3. Step 3: Cross multiply
    165.24x = 247.70 × 131.09
  4. Step 4: Simplify right side
    165.24x = 32,470.08
  5. Step 5: Solve for x
    x = 32,470.08/165.24
  6. Step 6: Final answer
    x = 196.50

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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.