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Finding the Fourth Proportional to 165.93, 229.05 and 119.31

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Solution

The fourth proportional to 165.93, 229.05 and 119.31 is: 164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.93 : 229.05 = 119.31 : x
  2. Step 2: Convert to fraction form
    165.93/229.05 = 119.31/x
  3. Step 3: Cross multiply
    165.93x = 229.05 × 119.31
  4. Step 4: Simplify right side
    165.93x = 27,327.96
  5. Step 5: Solve for x
    x = 27,327.96/165.93
  6. Step 6: Final answer
    x = 164.70

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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.