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Finding the Fourth Proportional to 165.85, 228.42 and 165.35

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Solution

The fourth proportional to 165.85, 228.42 and 165.35 is: 227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.85 : 228.42 = 165.35 : x
  2. Step 2: Convert to fraction form
    165.85/228.42 = 165.35/x
  3. Step 3: Cross multiply
    165.85x = 228.42 × 165.35
  4. Step 4: Simplify right side
    165.85x = 37,769.25
  5. Step 5: Solve for x
    x = 37,769.25/165.85
  6. Step 6: Final answer
    x = 227.73

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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.