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Finding the Fourth Proportional to 165, 246.14 and 159.92

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Solution

The fourth proportional to 165, 246.14 and 159.92 is: 238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 246.14 = 159.92 : x
  2. Step 2: Convert to fraction form
    165/246.14 = 159.92/x
  3. Step 3: Cross multiply
    165x = 246.14 × 159.92
  4. Step 4: Simplify right side
    165x = 39,362.71
  5. Step 5: Solve for x
    x = 39,362.71/165
  6. Step 6: Final answer
    x = 238.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.