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Finding the Fourth Proportional to 165, 227.66 and 116.04

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Solution

The fourth proportional to 165, 227.66 and 116.04 is: 160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 227.66 = 116.04 : x
  2. Step 2: Convert to fraction form
    165/227.66 = 116.04/x
  3. Step 3: Cross multiply
    165x = 227.66 × 116.04
  4. Step 4: Simplify right side
    165x = 26,417.67
  5. Step 5: Solve for x
    x = 26,417.67/165
  6. Step 6: Final answer
    x = 160.11

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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.