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Finding the Fourth Proportional to 165.82, 228.63 and 134.62

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Solution

The fourth proportional to 165.82, 228.63 and 134.62 is: 185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.82 : 228.63 = 134.62 : x
  2. Step 2: Convert to fraction form
    165.82/228.63 = 134.62/x
  3. Step 3: Cross multiply
    165.82x = 228.63 × 134.62
  4. Step 4: Simplify right side
    165.82x = 30,778.17
  5. Step 5: Solve for x
    x = 30,778.17/165.82
  6. Step 6: Final answer
    x = 185.61

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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.