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Finding the Fourth Proportional to 165.57, 229.14 and 142.33

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Solution

The fourth proportional to 165.57, 229.14 and 142.33 is: 196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.57 : 229.14 = 142.33 : x
  2. Step 2: Convert to fraction form
    165.57/229.14 = 142.33/x
  3. Step 3: Cross multiply
    165.57x = 229.14 × 142.33
  4. Step 4: Simplify right side
    165.57x = 32,614.20
  5. Step 5: Solve for x
    x = 32,614.20/165.57
  6. Step 6: Final answer
    x = 196.98

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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.