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Finding the Fourth Proportional to 165.93, 228.95 and 122.19

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Solution

The fourth proportional to 165.93, 228.95 and 122.19 is: 168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.93 : 228.95 = 122.19 : x
  2. Step 2: Convert to fraction form
    165.93/228.95 = 122.19/x
  3. Step 3: Cross multiply
    165.93x = 228.95 × 122.19
  4. Step 4: Simplify right side
    165.93x = 27,974.79
  5. Step 5: Solve for x
    x = 27,974.79/165.93
  6. Step 6: Final answer
    x = 168.59

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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.