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Finding the Fourth Proportional to 165.10, 227.99 and 116.09

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Solution

The fourth proportional to 165.10, 227.99 and 116.09 is: 160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.10 : 227.99 = 116.09 : x
  2. Step 2: Convert to fraction form
    165.10/227.99 = 116.09/x
  3. Step 3: Cross multiply
    165.10x = 227.99 × 116.09
  4. Step 4: Simplify right side
    165.10x = 26,466.78
  5. Step 5: Solve for x
    x = 26,466.78/165.10
  6. Step 6: Final answer
    x = 160.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.